ENGLISH

The Geometry of Submanifolds

By Yu. Aminov

Book information

Year
2001
ISBN
905699087X, 9789056990879
Open Library ID
OL18215796M
Language
english
Format
PDF
Filesize
8 MB (8794300 bytes)
Edition
1
Pages
390\390
Scanned
no
Time added
2011-06-04 13:46:07

Description

This is a comprehensive presentation of the geometry of submanifolds that expands on classical results in the theory of curves and surfaces. The geometry of submanifolds starts 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 both local and global aspects. Discussions include submanifolds in Euclidean states and Riemannian space, minimal submanifolds, Grassman mappings, multi-dimensional regular polyhedra, and isometric immersions of Lobachevski space into Euclidean spaces. This volume also highlights the contributions made by great geometers to the geometry of submanifolds and its areas of application.

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