Projective Differential Geometry of Submanifolds: Volume 49 (North-Holland Mathematical Library, Volume 49) - Tapa dura

Akivis, M. A.; Goldberg, V. V.

 
9780444897718: Projective Differential Geometry of Submanifolds: Volume 49 (North-Holland Mathematical Library, Volume 49)
Tapa dura
ISBN 10: 0444897712 ISBN 13: 9780444897718
Editorial: Elsevier, 1993

Sinopsis

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.

"Sinopsis" puede pertenecer a otra edición de este libro.

Reseña del editor

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Elsevier
Año de publicación
1993
Idioma
Inglés
ISBN 10 
0444897712
ISBN 13 
9780444897718
Encuadernación
Tapa dura
Número de páginas
376
Editor
Sevenster Arjen
Contacto del fabricante
no disponible
Persona responsable
GPSR Kontakt
gpsr@libri.de

Friedensallee 273
Hamburg
22763
Alemania

Otras ediciones populares con el mismo título

9780444548641: Projective Differential Geometry of Submanifolds

Edición Destacada

ISBN 10:  0444548645 ISBN 13:  9780444548641
Editorial: North Holland, 2011
Tapa blanda