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- catalog abstract "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.".
- catalog contributor b13089823.
- catalog contributor b13089824.
- catalog created "c2004.".
- catalog date "2004".
- catalog date "c2004.".
- catalog dateCopyrighted "c2004.".
- catalog description "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.".
- catalog description "Includes bibliographical references (p. 221-236) and indexes.".
- catalog description "Preface -- Foundational Material -- Varieties in Projective Spaces and Their Gauss Maps -- Basic Equations of Varieties with Degenerate Gauss Maps -- Main Structure Theorems -- Further Examples and Applications of the Theory of Varieties with Degenerate Gauss Maps -- Bibliography -- Symbols Frequently Used -- Author Index -- Subject Index.".
- catalog extent "xxi, 255 p. :".
- catalog identifier "0387404635 (alk. paper)".
- catalog isPartOf "CMS books in mathematics ; 18.".
- catalog issued "2004".
- catalog issued "c2004.".
- catalog language "eng".
- catalog publisher "New York : Springer,".
- catalog subject "516.3/6 21".
- catalog subject "Gauss maps.".
- catalog subject "Geometry, Differential.".
- catalog subject "Global differential geometry.".
- catalog subject "Mathematics.".
- catalog subject "QA641 .A588 2004".
- catalog tableOfContents "Preface -- Foundational Material -- Varieties in Projective Spaces and Their Gauss Maps -- Basic Equations of Varieties with Degenerate Gauss Maps -- Main Structure Theorems -- Further Examples and Applications of the Theory of Varieties with Degenerate Gauss Maps -- Bibliography -- Symbols Frequently Used -- Author Index -- Subject Index.".
- catalog title "Differential geometry of varieties with degenerate Gauss maps / Maks Akivis, Vladislav Goldberg.".
- catalog type "text".