Akivis, M. A. (Maks Aĭzikovich)
Overview
Works:  24 works in 137 publications in 5 languages and 2,501 library holdings 

Genres:  Biography Conference proceedings 
Roles:  Author, Editor, Honoree 
Classifications:  QA641, 516.36 
Publication Timeline
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Most widely held works about
M. A Akivis
 Maks A. Akivis selected papers by M. A Akivis M. A Akivis( Book )
Most widely held works by
M. A Akivis
Differential geometry of varieties with degenerate Gauss maps
by
M. A Akivis(
)
16 editions published between 2003 and 2005 in English and held by 673 WorldCat member libraries worldwide
In this book the authors study the differential geometry of varieties with degenerate Gauss maps. They use the main methods of differential geometry, namely, the methods of moving frames and exterior differential forms as well as tensor methods. By means of these methods, the authors discover the structure of varieties with degenerate Gauss maps, determine the singular points and singular varieties, find focal images and construct a classification of the varieties with degenerate Gauss maps. The authors introduce the above mentioned methods and apply them to a series of concrete problems arising in the theory of varieties with degenerate Gauss maps. What makes this book unique is the authors use of a systematic application of methods of projective differential geometry along with methods of the classical algebraic geometry for studying varieties with degenerate Gauss maps. This book is intended for researchers and graduate students interested in projective differential geometry and algebraic geometry and their applications. It can be used as a text for advanced undergraduate and graduate students
16 editions published between 2003 and 2005 in English and held by 673 WorldCat member libraries worldwide
In this book the authors study the differential geometry of varieties with degenerate Gauss maps. They use the main methods of differential geometry, namely, the methods of moving frames and exterior differential forms as well as tensor methods. By means of these methods, the authors discover the structure of varieties with degenerate Gauss maps, determine the singular points and singular varieties, find focal images and construct a classification of the varieties with degenerate Gauss maps. The authors introduce the above mentioned methods and apply them to a series of concrete problems arising in the theory of varieties with degenerate Gauss maps. What makes this book unique is the authors use of a systematic application of methods of projective differential geometry along with methods of the classical algebraic geometry for studying varieties with degenerate Gauss maps. This book is intended for researchers and graduate students interested in projective differential geometry and algebraic geometry and their applications. It can be used as a text for advanced undergraduate and graduate students
Conformal differential geometry and its generalizations
by
M. A Akivis(
Book
)
13 editions published between 1996 and 2011 in English and held by 359 WorldCat member libraries worldwide
This volume is intended for graduate students and researchers of differential geometry. It can be especially useful to those students and researchers who are interested in conformal and Grassmann differential geometry and their applications to theoretical physics
13 editions published between 1996 and 2011 in English and held by 359 WorldCat member libraries worldwide
This volume is intended for graduate students and researchers of differential geometry. It can be especially useful to those students and researchers who are interested in conformal and Grassmann differential geometry and their applications to theoretical physics
Projective differential geometry of submanifolds
by
M. A Akivis(
)
15 editions published between 1993 and 2005 in English and held by 356 WorldCat member libraries worldwide
In this book, the general theory of submanifolds in a multidimensional projective space is constructed. The topics dealt with include osculating spaces and fundamental forms of different orders, asymptotic and conjugate lines, submanifolds on the Grassmannians, different aspects of the normalization problems for submanifolds (with special emphasis given to a connection in the normal bundle) and the problem of algebraizability for different kinds of submanifolds, the geometry of hypersurfaces and hyperbands, etc. A series of special types of submanifolds with special projective structures are studied: submanifolds carrying a net of conjugate lines (in particular, conjugate systems), tangentially degenerate submanifolds, submanifolds with asymptotic and conjugate distributions etc. The method of moving frames and the apparatus of exterior differential forms are systematically used in the book and the results presented can be applied to the problems dealing with the linear subspaces or their generalizations. Graduate students majoring in differential geometry will find this monograph of great interest, as will researchers in differential and algebraic geometry, complex analysis and theory of several complex variables
15 editions published between 1993 and 2005 in English and held by 356 WorldCat member libraries worldwide
In this book, the general theory of submanifolds in a multidimensional projective space is constructed. The topics dealt with include osculating spaces and fundamental forms of different orders, asymptotic and conjugate lines, submanifolds on the Grassmannians, different aspects of the normalization problems for submanifolds (with special emphasis given to a connection in the normal bundle) and the problem of algebraizability for different kinds of submanifolds, the geometry of hypersurfaces and hyperbands, etc. A series of special types of submanifolds with special projective structures are studied: submanifolds carrying a net of conjugate lines (in particular, conjugate systems), tangentially degenerate submanifolds, submanifolds with asymptotic and conjugate distributions etc. The method of moving frames and the apparatus of exterior differential forms are systematically used in the book and the results presented can be applied to the problems dealing with the linear subspaces or their generalizations. Graduate students majoring in differential geometry will find this monograph of great interest, as will researchers in differential and algebraic geometry, complex analysis and theory of several complex variables
Elie Cartan (18691951)
by
M. A Akivis(
Book
)
10 editions published in 1993 in 3 languages and held by 320 WorldCat member libraries worldwide
10 editions published in 1993 in 3 languages and held by 320 WorldCat member libraries worldwide
An introduction to linear algebra and tensors
by
M. A Akivis(
Book
)
17 editions published between 1972 and 2012 in English and held by 276 WorldCat member libraries worldwide
This book constitutes a lucid and completely elementary introduction to linear algebra
17 editions published between 1972 and 2012 in English and held by 276 WorldCat member libraries worldwide
This book constitutes a lucid and completely elementary introduction to linear algebra
Introductory linear algebra
by
M. A Akivis(
Book
)
17 editions published in 1972 in English and Undetermined and held by 172 WorldCat member libraries worldwide
17 editions published in 1972 in English and Undetermined and held by 172 WorldCat member libraries worldwide
Tensor calculus with applications
by
M. A Akivis(
Book
)
8 editions published in 2003 in English and held by 127 WorldCat member libraries worldwide
8 editions published in 2003 in English and held by 127 WorldCat member libraries worldwide
Geometry and algebra of multidimensional threewebs
by
M. A Akivis(
Book
)
7 editions published in 1992 in English and held by 118 WorldCat member libraries worldwide
This monograph, which is the first to be devoted to the geometry of multidimensional threewebs, presents the classical adn uptodate results of the theory, and those parts of geometry and algebra which are closely connected with it. Many problems of the theory of smooth quasigroups and loops are considered. In addition to the general theory of webs, important classes of special webs are also studied. The volume contains eight chapters dealing with geometric and algebraic structures associated with threewebs, transversally geodesic and isoclinic threewebs, Bol and Moufang threewebs, closed Gstructures, automorphisms of threewebs, the geometry of the fourthorder differential neighborhood of a multidimensional threeweb, and dwebs of codimension r. The book concludes with some appendices and a comprehensive bibliography. This volume will be of particular interest to graduate students and researchers working in the areas of differential and algebraic geometry and algebra
7 editions published in 1992 in English and held by 118 WorldCat member libraries worldwide
This monograph, which is the first to be devoted to the geometry of multidimensional threewebs, presents the classical adn uptodate results of the theory, and those parts of geometry and algebra which are closely connected with it. Many problems of the theory of smooth quasigroups and loops are considered. In addition to the general theory of webs, important classes of special webs are also studied. The volume contains eight chapters dealing with geometric and algebraic structures associated with threewebs, transversally geodesic and isoclinic threewebs, Bol and Moufang threewebs, closed Gstructures, automorphisms of threewebs, the geometry of the fourthorder differential neighborhood of a multidimensional threeweb, and dwebs of codimension r. The book concludes with some appendices and a comprehensive bibliography. This volume will be of particular interest to graduate students and researchers working in the areas of differential and algebraic geometry and algebra
Tenzornoe ischislenie
by
M. A Akivis(
Book
)
11 editions published between 1969 and 1972 in Russian and held by 36 WorldCat member libraries worldwide
11 editions published between 1969 and 1972 in Russian and held by 36 WorldCat member libraries worldwide
Vvedenie v geometrii︠u︡ tkaneĭ
by
Wilhelm Blaschke(
Book
)
1 edition published in 1959 in Russian and held by 9 WorldCat member libraries worldwide
1 edition published in 1959 in Russian and held by 9 WorldCat member libraries worldwide
Osnovy teorii tkaneĭ uchebnoe posobie
by
M. A Akivis(
Book
)
2 editions published in 1981 in Russian and held by 6 WorldCat member libraries worldwide
2 editions published in 1981 in Russian and held by 6 WorldCat member libraries worldwide
Vvedenie v teorii︠u︡ tritkaneĭ : uchebnoe posobie
by
M. A Akivis(
Book
)
2 editions published in 1985 in Russian and held by 5 WorldCat member libraries worldwide
2 editions published in 1985 in Russian and held by 5 WorldCat member libraries worldwide
Selected papers
by
M. A Akivis(
Book
)
2 editions published in 2008 in English and held by 4 WorldCat member libraries worldwide
2 editions published in 2008 in English and held by 4 WorldCat member libraries worldwide
Webs & quasigroups
(
Book
)
1 edition published in 1993 in English and held by 4 WorldCat member libraries worldwide
1 edition published in 1993 in English and held by 4 WorldCat member libraries worldwide
Trudy geometricheskogo seminara T2. (Travaux du seminaire de geometrie)
by
M. A Akivis(
Book
)
1 edition published in 1969 in Russian and held by 3 WorldCat member libraries worldwide
1 edition published in 1969 in Russian and held by 3 WorldCat member libraries worldwide
Maks A. Akivis selected papers
by
M. A Akivis(
Book
)
1 edition published in 2008 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 2008 in English and held by 3 WorldCat member libraries worldwide
Tezy dopovidej Mižnarodnoï Konferenciï "Heometrija v Odesi  2008" : prysvjačuetʹsja 85riččju M. A. Akyvysa, 60riččju I. S. Krasylʹščyka, 65riččju A. M. Šelechova ; Odesa, 19 travnja  24 travnja 2008 r. = Tezisy dokladov Meždunarodnoj Konferencii "Geometrija v Odesse  2008" : posvjaščennoj 85letiju M. A. Akivisa, 60letiju I. S. Krasilʹščika, 65letiju A. M. Šelechova ; Odessa, 19 maja  24 maja 2008 g. = Abstracts of the International Conference "Geometry in Odessa  2008" : in honor of Maks A. Akivis on his 85th birthday, Iosif S. Krasilshchik on his 60th birthday, Alexander M. Shelekhov on his 65th birthday
(
Book
)
1 edition published in 2008 in Ukrainian and held by 2 WorldCat member libraries worldwide
1 edition published in 2008 in Ukrainian and held by 2 WorldCat member libraries worldwide
Invariante Konstruktion der Geometrie einer Hyperfläche in einem konformen Raum
by
M. A Akivis(
)
2 editions published between 1991 and 2008 in German and held by 2 WorldCat member libraries worldwide
2 editions published between 1991 and 2008 in German and held by 2 WorldCat member libraries worldwide
Elie cartan
by
M. A Akivis(
Book
)
1 edition published in 2011 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2011 in English and held by 2 WorldCat member libraries worldwide
Different︠s︡ialʹnai︠a︡ geometrii︠a︡ mezhvuzovskiĭ tematicheskiĭ sbornik
(
Book
)
2 editions published in 1977 in Russian and held by 2 WorldCat member libraries worldwide
2 editions published in 1977 in Russian and held by 2 WorldCat member libraries worldwide
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Related Identities
 Golʹdberg, V. V. (Vladislav Viktorovich) Translator Editor
 Rozenfelʹd, B. A. (Boris Abramovich) Editor
 Cartan, Elie 18691951
 Silverman, Richard A. Translator Editor
 Shelekhov, A. M.
 Wiley InterScience (Online service)
 Gol'dberg, Vladislav Viktorovič
 Gol·dberg, Vladislav V.
 Ivanov, Simeon Translator Editor
 Blaschke, Wilhelm 18851962 Author
Associated Subjects