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Semiparallel Submanifolds in Space Forms

Semiparallel Submanifolds in Space Forms

Paperback

General MathematicsGeometryPhysics

ISBN10: 1441923896
ISBN13: 9781441923899
Publisher: Springer Nature
Published: Oct 29 2010
Pages: 306
Weight: 0.98
Height: 0.66 Width: 6.14 Depth: 9.21
Language: English

This book offers the most comprehensive survey to date of the theory of semiparallel submanifolds. It begins with the necessary background material, detailing symmetric and semisymmetric Riemannian manifolds, smooth manifolds in space forms, and parallel submanifolds. The book then introduces semiparallel submanifolds and gives some characterizations for their class and several subclasses. Coverage next discusses the concept of main symmetric orbit and presents all known results concerning umbilic-like main symmetric orbits. Presenting both background material and the most recent developments in semiparallel submanifolds, this book will appeal to both researchers and graduate students.

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