The geometry of submanifolds / Yu. Aminov.

Format:

Book

Author/Creator:

Aminov, I︠U︡. A. (I︠U︡riĭ Akhmetovich)

Contributor:

Alumni and Friends Memorial Book Fund.

Language:

English

Subjects (All):

Submanifolds.

Physical Description:

xv, 371 pages : illustrations ; 26 cm

Place of Publication:

Amsterdam, The Netherlands : Gordon and Breach Science Publishers, [2001]

Summary:

Explains the geometry of submanifolds and expands classical results in the theory of curves and surfaces. Presentation begins with the theory of curves in n-dimensional Euclidean space, then moves on to consider submanifolds, hypersurfaces in Euclidean space and in Riemannian space, two-dimensional surfaces in four-dimensional Euclidean space, minimal submanifolds, the Grassmann image of a submanifold, and regular polyhedra in E4 and EN. Material on isometric immersions of Lobachevski space into Euclidean space is introduced non-traditionally with descriptions of meetings between the author and his teachers. Includes exercises. Aminov is a researcher at the Institute for Low Temperature Physics and Engineering of the Ukrainian Academy of Science, Ukraine. c. Book News Inc.

Notes:

Includes bibliographical references (pages 355-365) and indexes.

Local Notes:

Acquired for the Penn Libraries with assistance from the Alumni and Friends Memorial Book Fund.

ISBN:

905699087X

OCLC:

46321604