ENGLISH

Semiparallel submanifolds in space forms

By Ülo Lumiste (auth.)

Book information

Publisher
Springer-Verlag New York
Year
2009
ISBN
9780387499130, 9780387499116, 0387499113
DOI
10.1007/978-0-387-49913-0
LCC
QA649 .L85 2009
Open Library ID
OL23390773M
Language
english
Format
PDF
Filesize
1 MB (1350902 bytes)
Series
Springer Monographs in Mathematics
Edition
1
Pages
306\305
Library
Kolxo3
Time added
2009-12-04 00:34:26
Mathematical Methods in Physics;Topology;Different

Description

This book offers a comprehensive survey to date of the theory of semiparallel submanifolds. Introduced in 1985, semiparallel submanifolds have emerged as an important area of research within differential geometry and topology. The author begins with the necessary background on symmetric and semisymmetric Riemannian manifolds, smooth manifolds in space forms, and parallel submanifolds. Semiparallel submanifolds are introduced in Chapter 4, where characterizations of their class and several subclasses are given. In later chapters Lumiste introduces the concept of main symmetric orbit and presents all known results concerning umbilic-like main symmetric orbits. Generalizations, such as k-semiparallel submanifolds and Ric-semiparallel hypersurfaces, are also studied. Semiparallel Submanifolds in Space Forms will appeal to both researchers and graduate students.

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