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Quite simply, 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 as well as several subclasses. The coverage moves on to discuss the concept of main symmetric orbit and presents all known results concerning umbilic-like main symmetric orbits. With more than 40 published papers under his belt on the subject, Lumiste provides readers with the most authoritative treatment.
€96.29
Table of Content
Preliminaries.- Submanifolds in Space Forms.- Parallel Submanifolds.- Semiparallel Submanifolds.- Normally Flat Semiparallel Submanifolds.- Semiparallel Surfaces.- Semiparallel Three-Dimensional Submanifolds.- Decomposition Theorems.- Umbilic-Likeness of Main Symmetric Orbits.- Geometric Descriptions in General.- Isometric Semiparallel Immersions of Riemannian Manifolds of Conullity Two.- Some Generalizations.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.
Language English ● Format PDF ● Pages 306 ● ISBN 9780387499130 ● File size 2.6 MB ● Publisher Springer New York ● City NY ● Country US ● Published 2009 ● Downloadable 24 months ● Currency EUR ● ID 2145326 ● Copy protection Adobe DRM
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