Riemannian submersions, Riemannian maps in Hermitian geometry, and their applications. (2017)
- Record Type:
- Book
- Title:
- Riemannian submersions, Riemannian maps in Hermitian geometry, and their applications. (2017)
- Main Title:
- Riemannian submersions, Riemannian maps in Hermitian geometry, and their applications
- Further Information:
- Note: Bayram Şahin.
- Authors:
- Şahin, Bayram
- Contents:
- 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 maps4. 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 HermitianFront 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 maps4. 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 Kähler manifolds; 5. Slant Riemannian maps to Kähler manifolds; 6. Semi-slant Riemannian maps to Kähler manifolds 7. Hemi-slant Riemannian maps to Kähler manifoldsBibilography; Index; Back Cover … (more)
- Publisher Details:
- London, UK : Academic Press is an imprint of Elsevier
- Publication Date:
- 2017
- Extent:
- 1 online resource
- Subjects:
- 516.3/73
Riemannian manifolds
Geometry, Riemannian
Electronic books - Languages:
- English
- ISBNs:
- 9780128044100
0128044101 - Related ISBNs:
- 9780128043912
0128043911 - Notes:
- Note: Includes bibliographical references and index.
Note: Online resource; title from PDF title page (ScienceDirect, viewed February 2, 2017). - Access Rights:
- Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
- Access Usage:
- Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.
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- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library HMNTS - ELD.DS.114758
- Ingest File:
- 01_088.xml