Projective Differential Geometry Of Submanifolds
Download and Read Projective Differential Geometry Of Submanifolds full books in PDF, ePUB, and Kindle. Read online free Projective Differential Geometry Of Submanifolds ebook anywhere anytime directly on your device. We cannot guarantee that every ebooks is available!
Projective Differential Geometry of Submanifolds
Author | : M.A. Akivis |
Publisher | : Elsevier |
Total Pages | : 375 |
Release | : 1993-06-30 |
Genre | : Mathematics |
ISBN | : 0080887163 |
Download Projective Differential Geometry of Submanifolds Book in PDF, Epub and Kindle
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.
Projective Differential Geometry of Submanifolds Related Books
Pages: 375
Pages: 272
Pages: 426
Pages: 257
Pages: 193