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Projective differential geometry of submanifolds /
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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Amsterdam ; New York :
North-Holland,
1993.
|
| Colección: | North-Holland mathematical library ;
49. |
| Temas: | |
| Acceso en línea: | Texto completo Texto completo Texto completo |
MARC
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| 100 | 1 | |a Akivis, M. A. |q (Maks A�izikovich) | |
| 245 | 1 | 0 | |a Projective differential geometry of submanifolds / |c M.A. Akivis, V.V. Gol�dberg. |
| 260 | |a Amsterdam ; |a New York : |b North-Holland, |c 1993. | ||
| 300 | |a 1 online resource (xi, 362 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a North-Holland mathematical library ; |v 49 | |
| 520 | |a 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. | ||
| 504 | |a Includes bibliographical references (pages 297-331) and index. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Front Cover; Projective Differential Geometry of Submanifolds; Copyright Page; Preface; Table of Contents; Chapter 1. Preliminaries; Chapter 2. The Foundations of Projective Differential Geometry of Submanifolds; Chapter 3. Submanifolds Carrying a Net of Conjugate Lines; Chapter 4. Tangentially Degenerate Submanifolds; Chapter 5. Submanifolds with Asymptotic and Conjugate Distributions; Chapter 6. Normalized Submanifolds in a Projective Space; Chapter 7. Projective Differential Geometry of Hypersurfaces; Chapter 8. Algebraization Problems in Projective Differential Geometry; Bibliography. | |
| 650 | 0 | |a Submanifolds. | |
| 650 | 0 | |a Projective differential geometry. | |
| 650 | 6 | |a Sous-vari�et�es (Math�ematiques) |0 (CaQQLa)201-0061226 | |
| 650 | 6 | |a G�eom�etrie diff�erentielle projective. |0 (CaQQLa)201-0247907 | |
| 650 | 7 | |a MATHEMATICS |x Geometry |x Differential. |2 bisacsh | |
| 650 | 7 | |a Projective differential geometry |2 fast |0 (OCoLC)fst01078837 | |
| 650 | 7 | |a Submanifolds |2 fast |0 (OCoLC)fst01136611 | |
| 650 | 7 | |a Geometria diferencial projetiva. |2 larpcal | |
| 650 | 7 | |a �Go�mtrie projective. |2 ram | |
| 650 | 7 | |a �Go�mtrie dif�frentielle. |2 ram | |
| 650 | 7 | |a Sous-var�i�ts (mat�hmatiques) |2 ram | |
| 650 | 7 | |a �Go�mtrie dif�frentielle projective. |2 ram | |
| 653 | 0 | |a Differential geometry | |
| 700 | 1 | |a Gol�dberg, V. V. |q (Vladislav Viktorovich) | |
| 776 | 0 | 8 | |i Print version: |a Akivis, M.A. (Maks A�izikovich). |t Projective differential geometry of submanifolds. |d Amsterdam ; New York : North-Holland, 1993 |z 0444897712 |z 9780444897718 |w (DLC) 93010725 |w (OCoLC)27974819 |
| 830 | 0 | |a North-Holland mathematical library ; |v 49. | |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9780444897718 |z Texto completo |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/publication?issn=09246509&volume=49 |z Texto completo |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/bookseries/09246509/49 |z Texto completo |