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Book synopsis

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.

Book details

Book category Books in English Mathematics & science Mathematics Geometry

• Full title: Semiparallel Submanifolds in Space Forms
• Subtitle: Envelopes of Symmetric Orbits
• Author: Ülo Lumiste
• Language: English
• Binding: Hardback
• Number of pages: 306
• EAN: 9780387499116
• ISBN: 0387499113
• ID: 01382281
• Publisher: Springer-Verlag New York Inc.
• Weight: 641 g
• Dimensions: 235 × 155 × 22 mm
• Date of publishing: 23. October 2008

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