Projective Differential Geometry of Submanifolds

Language: English

Published by Elsevier Science and Technology, US, 1993

0444897712 / 9780444897718

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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.…

Seller Inventory # LU-9780444897718

Title
Projective Differential Geometry of Submanifolds
Author
M.A. Akivis, V.V. Goldberg
Publisher
Elsevier Science and Technology, US
Publication year
1993
Condition
New
Binding
Hardback
Language
English
ISBN 10
0444897712
ISBN 13
9780444897718
Item weight
720 grams

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