Science/Engineering Differential Geometry of Varieties with Degenerate Gauss Maps (0387404635)

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Differential Geometry of Varieties with Degenerate Gauss Maps

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. Each author has published over 100 papers and they have each written a number of books, including Conformal Differential Geometry and Its Generalizations (Wiley 1996), Projective Differential Geometry of Submanifolds (North-Holland 1993), and Introductory Linear Algebra (Prentice-Hall 1972), which were written by them jointly.

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	Science/Engineering Cartan for Beginners: Differential Geometry Via Moving Frames and Exterior Differential Systems Cartan for Beginners: Differential Geometry Via Moving Frames and Exterior Differential SystemsAmerican Mathematical Society \| 2003 \| ISBN: 0821833758 \| Pages: 378 \| DJVU \| 7.60 MBThis book is an introduction to Cartan's approach to differe ...
	Science/Engineering Degenerate Differential Equations in Banach Spaces Degenerate Differential Equations in Banach Spaces0824716779 \| CRC \| 1998 \| 7 MB DJVU \| RS \| FFThis work presents a detailed study of linear abstract degenerate differential equations, using both the semigroups generated by multivalued (lin ...
	Mathematics Algebraic Geometry V: Fano Varieties Parshin A.N., Shafarevich I.R. (ed) ¡°Algebraic Geometry V: Fano Varieties (Encyclopaedia of Mathematical Sciences) " Springer \| 2001-05-02 \| ISBN: 3540614680 \| Djvu \| 247 pages \| 3,5 Mb The aim of this survey is to provide an exposit ...
	Mathematics Differential Geometry and Physics: Proceedings of the 23rd International Conference of Differential Geometric Methods in Theore Mo-Lin Ge, Weiping Zhang ¡°Differential Geometry and Physics: Proceedings of the 23rd International Conference of Differential Geometric Methods in Theoretical Physics, Tianjin, ... August 2005" World Scientific Publishing Company \| 200 ...
	Mathematics Geometry I: Basic Ideas and Concepts of Differential Geometry (Encyclopaedia of Mathematical Sciences) Author: Publisher: Springer (1991)Binding: Hardcover, 264 pagespricer: $149.00ISBN-10: 3540519998editorialreviewsSince the early work of Gauss and Riemann, differential geometry has grown into a vast network of ideas and approaches, encompa ...
	Differential Geometry of Varieties with Degenerate Gauss Maps (CMS Books in Mathematics) Author: Vladislav V. Goldberg, Maks A. AkivisPublisher: Springer (2003)Binding: Hardcover, 255 pagespricer: $94.00ISBN-10: 0387404635editorialreviewsIn this book the authors study the differential geometry of varieties with degenerate Gauss ...

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