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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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Publisher : North Holland Release Date : 3. ISBN : 0444897712 Author : .
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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.
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.
Author: V.V. Goldberg,M.A. Akivis
Category: Math and Science
Publisher: North Holland; 1 edition (July 14, 1993)
Pages: 361 pages
ePUB size: 1596 kb
FB2 size: 1676 kb
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