Riemannian submersions, Riemannian maps in Hermitian geometry, and their applications /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: �Sahin, Bayram (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: London, UK : Academic Press is an imprint of Elsevier, [2017]
Temas:
Riemannian manifolds.
Geometry, Riemannian.
Vari�et�es de Riemann.
G�eom�etrie de Riemann.
MATHEMATICS > Geometry > General.
Geometry, Riemannian
Riemannian manifolds
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Front Cover; Riemannian Submersions, Riemannian Maps in Hermitian Geometry, and their Applications; Copyright; Dedication; Contents; Acknowledgments; Preface; About the Author; CHAPTER 1: Basic Geometric Structures on Manifolds; 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; 1. Applications of Riemannian submersions in robotic theory; 2. Kaluza-Klein theory.
  • CHAPTER 3: Riemannian submersions From Almost Hermitian Manifolds1. 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; 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; 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 manifolds6. 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; 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 K�ahler manifolds; 5. Slant Riemannian maps to K�ahler manifolds; 6. Semi-slant Riemannian maps to K�ahler manifolds.
  • 7. Hemi-slant Riemannian maps to K�ahler manifolds; Bibilography; Index; Back Cover.

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