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25 Remote Warehouse Mathematics- Differential Geometry

Differential Geometry of Varieties with Degenerate Gauss Maps (CMS Books in Mathematics)

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Differential Geometry of Varieties with Degenerate Gauss Maps (CMS Books in Mathematics) Cover

 

Synopses & Reviews

Publisher Comments:

 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.

Synopsis:

This book surveys the differential geometry of varieties with degenerate Gauss maps, using moving frames and exterior differential forms as well as tensor methods. The authors illustrate 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.

Table of Contents

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.

Product Details

ISBN:
9781441923394
Author:
Akivis, Maks A.
Publisher:
Springer
Author:
Goldberg, Vladislav V.
Subject:
Geometry - Differential
Subject:
Differential geometry
Subject:
Mathematics-Differential Geometry
Copyright:
Edition Description:
Softcover reprint of the original 1st ed. 2004
Series:
CMS Books in Mathematics
Publication Date:
20110701
Binding:
TRADE PAPER
Language:
English
Pages:
276
Dimensions:
235 x 155 mm

Related Subjects

Science and Mathematics » Mathematics » Differential Geometry
Science and Mathematics » Oceanography » General
Science and Mathematics » Physics » General

Differential Geometry of Varieties with Degenerate Gauss Maps (CMS Books in Mathematics) New Trade Paper
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Product details 276 pages Springer - English 9781441923394 Reviews:
"Synopsis" by , This book surveys the differential geometry of varieties with degenerate Gauss maps, using moving frames and exterior differential forms as well as tensor methods. The authors illustrate 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.
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