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The geometry of submanifolds

Author: I︠U︡ A Aminov
Publisher: Amsterdam, the Netherlands ; Japan : Gordon and Breach Science Publishers, ©2001.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:
"This volume provides a comprehensive presentation of the geometry of submanifolds and expands classical results in the theory of curves and surfaces. The geometry of submanifolds begins from the idea of the extrinsic geometry of a surface and the theory studies the position and properties of a submanifold in ambient space, in local and global aspects. The volume also highlights the contributions made by great  Read more...
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Document Type: Book
All Authors / Contributors: I︠U︡ A Aminov
ISBN: 905699087X 9789056990879
OCLC Number: 46321604
Description: xv, 371 pages : illustrations ; 26 cm
Contents: 1. Curves --
2. General Properties of Submanifolds --
3. Hypersurfaces --
4. Submanifolds in Euclidean Space --
5. Submanifolds in Riemannian Space --
6. Two-Dimensional Surfaces in E[superscript 4] --
7. Minimal Submanifolds --
8. Grassmann Image of a Submanifold --
9. Regular Polyhedra in E[superscript 4] and E[superscript N] --
10. Isometric Immersions of Lobachevski Space into Euclidean Space.
Responsibility: Yu. Aminov.

Abstract:

"This volume provides a comprehensive presentation of the geometry of submanifolds and expands classical results in the theory of curves and surfaces. The geometry of submanifolds begins from the idea of the extrinsic geometry of a surface and the theory studies the position and properties of a submanifold in ambient space, in local and global aspects. The volume also highlights the contributions made by great geometers, past and present, to the geometry of submanifolds and the developing areas of application."--Jacket.

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