Riemannian Submersions, Riemannian Maps in Hermitian Geometry, and their Applications

Bayram Sahin

Publisher:

Academic Press

Publication Date:

2017

Number of Pages:

342

Format:

Hardcover

Price:

99.95

ISBN:

9780128043912

Category:

Monograph

MAA Review
Table of Contents

We do not plan to review this book.

Dedication
Acknowledgments
Preface
About the Author
Chapter 1: Basic Geometric Structures on Manifolds
- Abstract
- 1 Riemannian manifolds and related topics
- 2 Vector bundles
- 3 Riemannian submanifolds and distributions
- 4 Riemannian submersions
- 5 Certain product structures on manifolds
- 6 Geometric structures along a map
Chapter 2: Applications of Riemannian Submersions
- Abstract
- 1 Applications of Riemannian submersions in robotic theory
- 2 Kaluza-Klein theory
Chapter 3: Riemannian submersions From Almost Hermitian Manifolds
- Abstract
- 1 Almost Hermitian manifolds
- 2 Holomorphic submersions and invariant submersions
- 3 Anti-invariant Riemannian submersions
- 4 Semi-invariant submersions
- 5 Generic Riemannian submersions
- 6 Slant submersions
- 7 Semi-slant submersions
- 8 Hemi-slant submersions
- 9 Pointwise slant submersions
- 10 Einstein metrics on the total space of an anti-invariant submersion
- 11 Clairaut submersions from almost Hermitian manifolds
Chapter 4: Riemannian Maps
- Abstract
- 1 Riemannian maps
- 2 Geometric structures along Riemannian maps
- 3 Totally geodesic Riemannian maps
- 4 Umbilical Riemannian maps
- 5 Harmonicity of Riemannian maps
- 6 Clairaut Riemannian maps
- 7 Circles along Riemannian maps
- 8 Chen first inequality for Riemannian maps
- 9 Einstein metrics on the total space of a Riemannian map
Chapter 5: Riemannian Maps From Almost Hermitian Manifolds
- Abstract
- 1 Holomorphic Riemannian maps from almost Hermitian manifolds
- 2 Anti-invariant Riemannian maps from almost Hermitian manifolds
- 3 Semi-invariant Riemannian maps from almost Hermitian manifolds
- 4 Generic Riemannian maps from almost Hermitian manifolds
- 5 Slant Riemannian maps from almost Hermitian manifolds
- 6 Semi-slant Riemannian maps from almost Hermitian manifolds
- 7 Hemi-slant Riemannian maps from almost Hermitian manifolds
Chapter 6: Riemannian Maps To Almost Hermitian Manifolds
- Abstract
- 1 Invariant Riemannian maps to almost Hermitian manifolds
- 2 Anti-invariant Riemannian maps to almost Hermitian manifolds
- 3 Semi-invariant Riemannian maps to almost Hermitian manifolds
- 4 Generic Riemannian maps to Kähler manifolds
- 5 Slant Riemannian maps to Kähler manifolds
- 6 Semi-slant Riemannian maps to Kähler manifolds
- 7 Hemi-slant Riemannian maps to Kähler manifolds
Bibliography
Index