Reshetni︠a︡k, I︠U︡. G. (I︠U︡riĭ Grigorʹevich)
Overview
Works:  77 works in 208 publications in 3 languages and 2,142 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Other 
Classifications:  QA649, 515.9 
Publication Timeline
.
Most widely held works by
I︠U︡. G Reshetni︠a︡k
Space mappings with bounded distortion by
I︠U︡. G Reshetni︠a︡k(
Book
)
11 editions published between 1982 and 1989 in 3 languages and held by 297 WorldCat member libraries worldwide
11 editions published between 1982 and 1989 in 3 languages and held by 297 WorldCat member libraries worldwide
Geometry IV : nonregular Riemannian geometry by
I︠U︡. G Reshetni︠a︡k(
Book
)
4 editions published in 1993 in English and held by 192 WorldCat member libraries worldwide
This volume of the Encyclopaedia contains two articles, which give a survey of modern research into nonregular Riemannian geometry, carried out mostly by Russian mathematicians. The first article written by Reshetnyak is devoted to the theory of twodimensional Riemannian manifolds of bounded curvature. Concepts of Riemannian geometry, such as the area andintegral curvature of a set, and the length and integral curvature of a curve are also defined for these manifolds. Some fundamental results of Riemannian goemetry like the GaussBonnet formula are true in the more general case considered in the book. The second article by Berestovskij and Nikolaev is devoted to the theory of metric spaces whose curvature lies between two given constants. The main result is that these spaces are infact Riemannian. This result has important applications in global Riemanniangeometry. Both parts cover topics, which have not yet been treated in monograph form. Hence the book will be immensely useful to graduate students and researchers in geometry, in particular Riemannian geometry
4 editions published in 1993 in English and held by 192 WorldCat member libraries worldwide
This volume of the Encyclopaedia contains two articles, which give a survey of modern research into nonregular Riemannian geometry, carried out mostly by Russian mathematicians. The first article written by Reshetnyak is devoted to the theory of twodimensional Riemannian manifolds of bounded curvature. Concepts of Riemannian geometry, such as the area andintegral curvature of a set, and the length and integral curvature of a curve are also defined for these manifolds. Some fundamental results of Riemannian goemetry like the GaussBonnet formula are true in the more general case considered in the book. The second article by Berestovskij and Nikolaev is devoted to the theory of metric spaces whose curvature lies between two given constants. The main result is that these spaces are infact Riemannian. This result has important applications in global Riemanniangeometry. Both parts cover topics, which have not yet been treated in monograph form. Hence the book will be immensely useful to graduate students and researchers in geometry, in particular Riemannian geometry
Quasiconformal mappings and Sobolev spaces by
V. M Golʹdshteĭn(
Book
)
10 editions published between 1983 and 1990 in English and Russian and held by 177 WorldCat member libraries worldwide
'Ht moi ..., si j'avait su comment en revenir, One lemce mathematics has rendered the je n'y serai. point aile.' human race. It has put common sense back Jule. Verne ... "'" it belong., on the topmost shelf next to the dusty caniller labelled 'discarded non The series is divergent; therefore we may be sense'. able to do something with it. Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'~re of this series
10 editions published between 1983 and 1990 in English and Russian and held by 177 WorldCat member libraries worldwide
'Ht moi ..., si j'avait su comment en revenir, One lemce mathematics has rendered the je n'y serai. point aile.' human race. It has put common sense back Jule. Verne ... "'" it belong., on the topmost shelf next to the dusty caniller labelled 'discarded non The series is divergent; therefore we may be sense'. able to do something with it. Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'~re of this series
Third Siberian School Algebra and Analysis : proceedings of the third Siberian School, Irkutsk State University, Irkutsk,
1989 by
1989, Irkutsk) Siberian School Algebra and Analysis (3(
Book
)
6 editions published in 1995 in English and held by 173 WorldCat member libraries worldwide
6 editions published in 1995 in English and held by 173 WorldCat member libraries worldwide
The Interaction of Analysis and Geometry : International SchoolConference Analysis and Geometry, August 23September 3,
2004, Novosibirsk, Russia by International SchoolConference on Analysis and Geometry(
Book
)
3 editions published in 2007 in English and held by 169 WorldCat member libraries worldwide
"The papers in this volume are based on talks given at the International Conference on Analysis and Geometry in honor of the 75th birthday of Yurii Reshetnyak (Novosibirsk, 2004). The topics include geometry of spaces with bounded curvature in the sense of Alexandrov, quasiconformal mappings and mappings with bounded distortion (quasiregular mappings), nonlinear potential theory, Sobolev spaces, spaces with fractional and generalized smoothness, variational problems, and other modern trends in these areas."Jacket
3 editions published in 2007 in English and held by 169 WorldCat member libraries worldwide
"The papers in this volume are based on talks given at the International Conference on Analysis and Geometry in honor of the 75th birthday of Yurii Reshetnyak (Novosibirsk, 2004). The topics include geometry of spaces with bounded curvature in the sense of Alexandrov, quasiconformal mappings and mappings with bounded distortion (quasiregular mappings), nonlinear potential theory, Sobolev spaces, spaces with fractional and generalized smoothness, variational problems, and other modern trends in these areas."Jacket
Stability theorems in geometry and analysis by
I︠U︡. G Reshetni︠a︡k(
Book
)
21 editions published between 1982 and 2011 in Russian and English and held by 157 WorldCat member libraries worldwide
This is one of the first monographs to deal with the metric theory of spatial mappings and incorporates results in the theory of quasiconformal, quasiisometric and other mappings. The main subject is the study of the stability problem in Liouville's theorem on conformal mappings in space
21 editions published between 1982 and 2011 in Russian and English and held by 157 WorldCat member libraries worldwide
This is one of the first monographs to deal with the metric theory of spatial mappings and incorporates results in the theory of quasiconformal, quasiisometric and other mappings. The main subject is the study of the stability problem in Liouville's theorem on conformal mappings in space
General theory of irregular curves by
A. D Aleksandrov(
Book
)
8 editions published in 1989 in English and held by 156 WorldCat member libraries worldwide
One service mathematics has rendered the "Et moi ... si j'a\'ait su comment en revenir, human race. It has put common sense back je n'y scrais point alit: Jules Verne where it belongs, on the topmost shelf next to the dusty canister labc\led 'discarded non The series is divergent; therefore we may be sense'. Eric T. 8c\l able to do something with it. O. Hcaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series
8 editions published in 1989 in English and held by 156 WorldCat member libraries worldwide
One service mathematics has rendered the "Et moi ... si j'a\'ait su comment en revenir, human race. It has put common sense back je n'y scrais point alit: Jules Verne where it belongs, on the topmost shelf next to the dusty canister labc\led 'discarded non The series is divergent; therefore we may be sense'. Eric T. 8c\l able to do something with it. O. Hcaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series
Second Siberian Winter School "Algebra and Analysis" : proceedings of the Second Siberian School, Tomsk State University,
Tomsk, 1989 by
1989, Tomsk) Siberian Winter School Algebra and Analysis (2(
Book
)
5 editions published in 1992 in English and held by 149 WorldCat member libraries worldwide
5 editions published in 1992 in English and held by 149 WorldCat member libraries worldwide
A.D. Alexandrov, selected works by
A. D Aleksandrov(
Book
)
8 editions published in 1996 in English and held by 81 WorldCat member libraries worldwide
8 editions published in 1996 in English and held by 81 WorldCat member libraries worldwide
Geometry II : spaces of constant curvature by
Ė. B Vinberg(
Book
)
21 editions published between 1991 and 2009 in English and held by 61 WorldCat member libraries worldwide
This book contains a systematic and comprehensive exposition of Lobachevskian geometry and the theory of discrete groups of motions in Euclidean space and Lobachevsky space. The authors give a very clear account of their subject describing it from the viewpoints of elementary geometry, Riemannian geometry and group theory. The result is a book which has no rival in the literature. Part I contains the classification of motions in spaces of constant curvature and nontraditional topics like the theory of acuteangled polyhedra and methods for computing volumes of nonEuclidean polyhedra. Part II includes the theory of cristallographic, Fuchsian, and Kleinian groups and an exposition of Thurston's theory of deformations. The greater part of the book is accessible to firstyear students in mathematics. At the same time the book includes very recent results which will be of interest to researchers in this field
21 editions published between 1991 and 2009 in English and held by 61 WorldCat member libraries worldwide
This book contains a systematic and comprehensive exposition of Lobachevskian geometry and the theory of discrete groups of motions in Euclidean space and Lobachevsky space. The authors give a very clear account of their subject describing it from the viewpoints of elementary geometry, Riemannian geometry and group theory. The result is a book which has no rival in the literature. Part I contains the classification of motions in spaces of constant curvature and nontraditional topics like the theory of acuteangled polyhedra and methods for computing volumes of nonEuclidean polyhedra. Part II includes the theory of cristallographic, Fuchsian, and Kleinian groups and an exposition of Thurston's theory of deformations. The greater part of the book is accessible to firstyear students in mathematics. At the same time the book includes very recent results which will be of interest to researchers in this field
Nestandartnye metody analiza by
A. G Kusraev(
Book
)
2 editions published in 1990 in Russian and held by 20 WorldCat member libraries worldwide
2 editions published in 1990 in Russian and held by 20 WorldCat member libraries worldwide
Different︠s︡ialʹnye uravnenii︠a︡ s chastnymi proizvodnymi : trudy mezhdunarodnoĭ konferent︠s︡ii po different︠s︡ialʹnym uravnenii︠a︡m
s chastnymi proizvodnymi by Mezhdunarodnai︠a︡ konferent︠s︡ii︠a︡ po different︠s︡ialʹnym uravnenii︠a︡m s chastnymi proizvodnymi(
Book
)
2 editions published in 1986 in Russian and held by 19 WorldCat member libraries worldwide
2 editions published in 1986 in Russian and held by 19 WorldCat member libraries worldwide
Ustoĭchivostʹ v Cnorme klassov otobrazheniĭ by
A. P Kopylov(
Book
)
3 editions published in 1990 in Russian and held by 19 WorldCat member libraries worldwide
3 editions published in 1990 in Russian and held by 19 WorldCat member libraries worldwide
Vektornye reshetki i integralʹnye operatory by
I︠U︡. G Reshetni︠a︡k(
Book
)
3 editions published in 1992 in Russian and held by 16 WorldCat member libraries worldwide
3 editions published in 1992 in Russian and held by 16 WorldCat member libraries worldwide
Osnovy matematicheskogo analiza by
G. P Akilov(
Book
)
2 editions published in 1980 in Russian and held by 15 WorldCat member libraries worldwide
2 editions published in 1980 in Russian and held by 15 WorldCat member libraries worldwide
Nonregular Riemannian geometry(
Book
)
3 editions published in 1993 in English and German and held by 13 WorldCat member libraries worldwide
3 editions published in 1993 in English and German and held by 13 WorldCat member libraries worldwide
Subdifferent︠s︡ialy : teorii︠a︡ i prilozhenii︠a︡ by
A. G Kusraev(
Book
)
2 editions published in 1992 in Russian and held by 12 WorldCat member libraries worldwide
2 editions published in 1992 in Russian and held by 12 WorldCat member libraries worldwide
Issledovanii︠a︡ po geometrii i matematicheskomu analizu(
Book
)
2 editions published in 1987 in Russian and held by 12 WorldCat member libraries worldwide
2 editions published in 1987 in Russian and held by 12 WorldCat member libraries worldwide
Issledovanii︠a︡ po geometrii "v t︠s︡elom" i matematicheskomu analizu(
Book
)
2 editions published in 1987 in Russian and held by 12 WorldCat member libraries worldwide
2 editions published in 1987 in Russian and held by 12 WorldCat member libraries worldwide
Issledovanii︠a︡ po matematicheskomu analizu i rimanovoĭ geometrii(
Book
)
2 editions published in 1992 in Russian and held by 10 WorldCat member libraries worldwide
2 editions published in 1992 in Russian and held by 10 WorldCat member libraries worldwide
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Related Identities
 Bokutʹ, L. A. (Leonid Arkadʹevich) 1937 Editor
 Aleksandrov, A. D. (Aleksandr Danilovich) 19121999 Author
 Golʹdshteĭn, V. M. (Vladimir Mikhaĭlovich) Author
 Vodopʹi︠a︡nov, S. K. (Sergeĭ Konstantinovich)
 Burenkov, Victor I. 1941
 Iwaniec, Tadeusz
 Hazewinkel, Michiel Editor
 Aleksandrov, I. A. (Igorʹ Aleksandrovich) (Mathematician)
 Kutateladze, S. S. (Semen Samsonovich) Other Editor
 Vinberg, E.B. Editor
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Associated Subjects
Algebra Conformal mapping Convex functions Convex surfaces Curves on surfaces Differential equations Differential equations, PartialNumerical solutions Engineering mathematics Functional analysis Functional equations Functions Geometry Geometry, Analytic Geometry, Differential Geometry, Riemannian Global analysis (Mathematics) Global differential geometry Integral equations Integral operators Integral transforms Mappings (Mathematics) Mathematical analysis Mathematical optimization Mathematics Nonstandard mathematical analysis Quasiconformal mappings Reshetni︠a︡k, I︠U︡. G.(I︠U︡riĭ Grigorʹevich) Riesz spaces Spaces of constant curvature Stability Subdifferentials Topological groups Topology Vector spaces
Alternative Names
Juriy Grigorevitsj Resjetnjak Russisch wiskundige
Rechetniak Iourï Grigorevitch
Rešetnâk, Û. G.
Rešetnjak, Jurij Grigor'evič
Rešetnjak, Jurij Grigor'evič. [t]
Reshetni︠a︡k, I︠U︡. G.
Reshetniak Iurî Grigorʹevich
Reshetni︠a︡k, I︠U︡riĭ Grigorʹevich
Reshetnyak Yu. G.
Reshetnyak, Yurii
Yurii Reshetnyak
Yurii Reshetnyak Soviet Russian mathematician
Γιούρι Ρεσέτνιακ
Решетняк, Ю. Г..
Решетняк, Ю. Г. (Юрий Григорьевич)
Решетняк, Юрий Григорьевич
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