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Semiparallel Submanifolds in Space Forms by Ülo Lumiste

Semiparallel Submanifolds in Space Forms

by Ülo Lumiste
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₹7,345.00
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Book cover type: Paperback
  • ISBN13: 9781441923899
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 306
  • Original Price: EUR 99.99
  • Language: English
  • Edition: N/A
  • Item Weight: 479 grams
  • BISAC Subject(s): Geometry / Differential, Topology, and Physics / Mathematical & Computational

From the Back Cover

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 author 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.

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.

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