Akivis, M. A. (Maks Aĭzikovich)
Overview
Works:  22 works in 139 publications in 5 languages and 2,558 library holdings 

Genres:  Biography Conference proceedings 
Roles:  Author, Editor, Honoree 
Classifications:  QA641, 512.5 
Publication Timeline
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Most widely held works by
M. A Akivis
Elie Cartan (18691951) by
M. A Akivis(
Book
)
12 editions published between 1993 and 2007 in 4 languages and held by 324 WorldCat member libraries worldwide
12 editions published between 1993 and 2007 in 4 languages and held by 324 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 277 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 277 WorldCat member libraries worldwide
This book constitutes a lucid and completely elementary introduction to linear algebra
Conformal differential geometry and its generalizations by
M. A Akivis(
Book
)
13 editions published between 1996 and 2011 in English and held by 277 WorldCat member libraries worldwide
Conformal differential geometry, a part of classical differential geometry, was founded at the turn of the century and gave rise to the study of conformal and almost Grassmann structures in later years. Until now, no book has offered a systematic presentation of the multidimensional conformal differential geometry and the conformal and almost Grassmann structures. The geometry and theory of conformal and pseudoconformal spaces of arbitrary dimension, as well as the theory of Grassmann and almost Grassmann structures, are discussed and analyzed in detail. The topics covered not only advance the subject itself, but pose important questions for future investigations. This exhaustive, groundbreaking text combines the classical results and recent developments and findings
13 editions published between 1996 and 2011 in English and held by 277 WorldCat member libraries worldwide
Conformal differential geometry, a part of classical differential geometry, was founded at the turn of the century and gave rise to the study of conformal and almost Grassmann structures in later years. Until now, no book has offered a systematic presentation of the multidimensional conformal differential geometry and the conformal and almost Grassmann structures. The geometry and theory of conformal and pseudoconformal spaces of arbitrary dimension, as well as the theory of Grassmann and almost Grassmann structures, are discussed and analyzed in detail. The topics covered not only advance the subject itself, but pose important questions for future investigations. This exhaustive, groundbreaking text combines the classical results and recent developments and findings
Projective differential geometry of submanifolds by
M. A Akivis(
Book
)
17 editions published between 1993 and 2005 in English and held by 192 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
17 editions published between 1993 and 2005 in English and held by 192 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
Differential geometry of varieties with degenerate Gauss maps by
M. A Akivis(
Book
)
15 editions published between 2003 and 2005 in English and held by 180 WorldCat member libraries worldwide
"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."BOOK JACKET
15 editions published between 2003 and 2005 in English and held by 180 WorldCat member libraries worldwide
"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."BOOK JACKET
Introductory linear algebra by
M. A Akivis(
Book
)
17 editions published in 1972 in English and Undetermined and held by 169 WorldCat member libraries worldwide
17 editions published in 1972 in English and Undetermined and held by 169 WorldCat member libraries worldwide
Tensor calculus with applications by
M. A Akivis(
Book
)
19 editions published between 1969 and 2003 in Russian and English and held by 164 WorldCat member libraries worldwide
19 editions published between 1969 and 2003 in Russian and English and held by 164 WorldCat member libraries worldwide
Geometry and algebra of multidimensional threewebs by
M. A Akivis(
Book
)
8 editions published in 1992 in English and held by 98 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
8 editions published in 1992 in English and held by 98 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
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
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
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
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
Vvedenie v teorii︠u︡ tritkaneĭ : uchebnoe posobie by
M. A Akivis(
Book
)
2 editions published in 1985 in Russian and held by 3 WorldCat member libraries worldwide
2 editions published in 1985 in Russian and held by 3 WorldCat member libraries worldwide
Osnovy teorii tkaneĭ : uchebnoe posobie by
M. A Akivis(
Book
)
2 editions published in 1981 in Russian and held by 3 WorldCat member libraries worldwide
2 editions published in 1981 in Russian and held by 3 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
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
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
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
Metodicheskie razrabotki po teme "Lokalʹnye analiticheskie kvazigruppy i lupy" : dli︠a︡ studentov, spet︠s︡ializirui︠u︡shchikhsi︠a︡
po geometrii(
Book
)
1 edition published in 1980 in Russian and held by 1 WorldCat member library worldwide
1 edition published in 1980 in Russian and held by 1 WorldCat member library 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 0 WorldCat member libraries worldwide
2 editions published between 1991 and 2008 in German and held by 0 WorldCat member libraries worldwide
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Audience Level
0 

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Kids  General  Special 
Related Identities
 Golʹdberg, V. V. (Vladislav Viktorovich) Translator Editor Author
 Rozenfelʹd, B. A. (Boris Abramovich) Editor
 Cartan, Elie 18691951
 Silverman, Richard A. Translator Editor
 Shelekhov, A. M.
 Wiley InterScience (Online service)
 Goldberg, Vladislav V.
 Ivanov, Simeon Translator Editor
 Blaschke, Wilhelm 18851962 Author
 I︠A︡glom, I. M. (Isaak Moiseevich) 19211988
Associated Subjects
Algebra Algebras, Linear Calculus of tensors Cartan, Elie, Conformal geometry France Gauss maps Geometry, Algebraic Geometry, Differential Global differential geometry Lie groups Loops (Group theory) Mathematicians Mathematics Nets (Mathematics) Projective differential geometry Quasigroups Submanifolds Webs (Differential geometry)