Semiparallel Submanifolds in Space Forms

• Main Author: Lumiste, Ülo (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2009.
• Subjects: Mathematics.; Differential geometry.; Topology.; Physics.; Differential Geometry.; Mathematical Methods in Physics.

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 semisymm...

Table of Contents:

• 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.