Structures on manifolds
The purpose of this book is to provide an introduction to the theory of various differential geometric structures on manifolds and to gather and arrange the results on submanifolds of Riemannian manifolds with certain structures.
Read More ↓Title Statements
- Full title :Structures on manifolds / Kentarō Yano, Masahiro Kon.
Summary
The purpose of this book is to provide an introduction to the theory of various differential geometric structures on manifolds and to gather and arrange the results on submanifolds of Riemannian manifolds with certain structures.
Read More ↓Edition Statements
- Publication Date:©1984
Publication Statements
- Publisher(s):World Scientific
- Place of Publication:Singapore
- Language:eng
- Publication Date:©1984
The Physical Object
- Description:1 online resource (520 pages)
Edition Identifiers
- ISBN:9789814503037, 9814503037
- oclc:ocn878136361
- LC Classification:QA649
- Dewey Decimal:516.3/62
Table of Contents
Preface; contents; chapter i riemannian manifolds; 1. manifolds and tensor fields; 2. connections and covariant differentiations; 3. sectional curvature; 4. transformations; 5. fibre bundles and covering spaces; exercises; chapter ii submanifolds of riemannian manifolds; 1. induced connection and second fundamental form; 2. equations of gauss, codazzi and ricci; 3. laplacian of the second fundamental form; 4. submanifolds of space forms; 5. minimal submanifolds; exercises; chapter iii complex manifolds; 1. almost complex manifolds and complex manifolds.
2. examples of complex manifolds and almost complex manifolds3. hermitian manifolds; 4. kaehlerian manifolds; 5. nearly kaehlerian manifolds; 6. quaternion kaehlerian manifolds; exercises; chapter iv submanifolds of kaehlerian manifolds; 1. kaehlerian submanifolds; 2. anti-invariant submanifolds of kaehlerian manifolds; 3. cr submanifolds of kaehlerian manifolds; exercises; chapter v contact manifolds; 1. almost contact manifolds; 2. contact manifolds; 3. torsion tensor of almost contact manifolds; 4. contact distribution; 5. sasakian manifolds; 6. regular contact manifolds.
7. BRIESKORN MANIFOLDSEXERCISES; CHAPTER VI SUBMANIFOLD…
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