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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
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
Tags: 
Differential Geometry
Riemannian Geometry