Semiparallel Submanifolds in Space Forms

Ülo Lumiste

ISBN 10: 1441923896 / ISBN 13: 9781441923899

Published by Springer New York, Springer US, 2010

About this Item

Druck auf Anfrage Neuware - Printed after ordering - 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 authorbegins 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.

Seller Inventory # 9781441923899

Bibliographic Details

• Title: Semiparallel Submanifolds in Space Forms
• Publisher: Springer New York, Springer US
• Publication Date: 2010
• Language: English
• ISBN 10: 1441923896
• ISBN 13: 9781441923899
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 235W x 155H x 18D millimeters 235 millimeters width by 155 millimeters height by 18 millimeters depth
• Weight: 482 grams

About this title

Synopsis

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.

About the Author

Ülo Lumiste is considered an expert in the application of Cartan's exterior calculus. He has been noted for his extensive contributions to the area of semiparallel submanifolds.