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Semiparallel Submanifolds in Space Forms

Name: Semiparallel Submanifolds in Space Forms
Brand: Springer-Verlag New York Inc.
SKU: 01382281
Price: 118.29 EUR
Availability: InStock
Author: Ülo Lumiste
ISBN: 9780387499116

Envelopes of Symmetric Orbits

Ülo Lumiste

Language

English

Book Hardback

Libristo code: 01382281

Publishers Springer-Verlag New York Inc., October 2008

This book offers a comprehensive survey to date of the theory of semiparallel submanifolds. Introduc... Full description

Libristo code: 01382281

290 b

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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.§Lumiste 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.