Semiparallel Submanifolds in Space Forms
Envelopes of Symmetric Orbits
(Sprache: Englisch)
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,...
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Klappentext zu „Semiparallel Submanifolds in Space Forms “
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.
Inhaltsverzeichnis zu „Semiparallel Submanifolds in Space Forms “
- Introduction- 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
- Bibliography
- Index
Autoren-Porträt von Ülo Lumiste
lo Lumiste has been considered an expert in the application of Cartan's exterior calculus. And he has been noted for his extensive contributions in the area of semiparallel submanifolds.
Bibliographische Angaben
- Autor: Ülo Lumiste
- 2008, 2009, 306 Seiten, Maße: 16 x 24,1 cm, Gebunden, Englisch
- Verlag: Springer, New York
- ISBN-10: 0387499113
- ISBN-13: 9780387499116
- Erscheinungsdatum: 23.10.2008
Sprache:
Englisch
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