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Projective Differential Geometry of Submanifolds, Volume 49 (North-Holland Mathematical Library) epub download

by V.V. Goldberg,M.A. Akivis


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The Foundations of Projective Differential Geometry of Submanifolds. Affiliations and Expertise. Moscow Institute of Steel and Alloys, Department of Mathematics, Moscow, Russia. 3. Submanifolds Carrying a Net of Conjugate Lines. 4. Tangentially Degenerate Submanifolds. 5. Submanifolds with Asymptotic and Conjugate Distributions. 6. Normalized Submanifolds in a Projective Space. In this book, the general theory of submanifolds in a multidimensional projective space is constructed. New Jersey Institute of Technology, Department of Mathematics, Newark, NJ, USA.

In this book, the general theory of submanifolds in a multidimensional projective space is constructed.

North-Holland Mathematical Library . North-Holland mathematical library 49). Includes bibliographical references. Note that projective differential geometry is a basis for Euclidean and non-Euclidean differential geometries since metric properties of submanifolds of Euclidean and non-Euclidean spaces should only be added to their projective properties. This fact was noted by É. Cartan in his paper. In recent years the interest in multidimensional projective differential geometry increased again.

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Start by marking Projective Differential Geometry of Submanifolds as Want to Read: Want to Read savin. ant to Read. 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 book presents a systematic introduction to projective geometry as based on the notion of vector space, which is the central topic of the first chapter.

Goldberg, - Projective Differential Geometry of Submanifolds (North-Holland Mathematical Library). Goldberg, R. Silverman - Introductory linear algebra. Goldberg, Читать pdf. Silverman.

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, Volume 49 (North-Holland Mathematical Library) epub download

ISBN13: 978-0444897718

ISBN: 0444897712

Author: V.V. Goldberg,M.A. Akivis

Category: Math and Science

Subcategory: Mathematics

Language: English

Publisher: North Holland; 1 edition (July 14, 1993)

Pages: 361 pages

ePUB size: 1596 kb

FB2 size: 1676 kb

Rating: 4.4

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