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About this book :-
Tangent and Cotangent Bundles: Differential Geometry written by
Kentaro Yano.
Differential Geometry of tangent and Contangent bundles is a new and very fruitful domain of differentail geomety, not only because the theory allows a clear insight to classical results but also provides many new problems in the study of modern differential geometry. In this book the authors known so far in order to give a bird's eye view of theory to the readers and to encourage them to participate in the study of this new branch of an old discipline.
This text cover the tansors and connections form a manifold to its tangent bundle, tangent bundles of Riemannian manifolds, prolongations of G-structures to tangent bundles, non linear connections in tangent buncles, 'vertrical complete and horizontal lifts of tensors and connections from a manifold to its cotangent bundle', tangent bundles of higher order.
Book Detail :-
Title: Tangent and Cotangent Bundles: Differential Geometry
Edition:
Author(s): Kentaro Yano
Publisher: Marcel Dekker
Series:
Year: 1973
Pages: 452
Type: PDF
Language: Englsih
ISBN: 0824760719
Country: Japan
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About Author :- Kentaro Yano 1912-1993 was a Japanese mathematian, professor at Department of Mathematics, Tokyo Institute of Technology, Tokyo, Japan. His area of interest was differential geometry. His great work is introduced the Bochner-Yano theorem.
All Famous Books of this Author :-
Here is list all books, text books, editions, versions or solution manuals avaliable of this author, We recomended you to download all.
• Download PDF Differential Geometry on Complex and Almost Complex Spaces by Kentaro Yano
• Download PDF Integral Formulas in Riemannian Geometry by Kentaro Yano
• Download PDF Tangent and Cotangent Bundles: Differential Geometry by Kentaro Yano
Structures on Manifolds (Series in Pure Mathematics) by Kentaro Yano
Selected Papers by Kentaro Yano
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Book Contents :-
Tangent and Cotangent Bundles: Differential Geometry written by
Kentaro Yano
cover the following topics.
'
1. Vertical and Complete Lifts from a manifold to its tangent Bundle
2. Horizontal Lifts from a Manuifold
3. Cross Sections in the Tangent Bundle
4. Tangent Bundles of Riemannian Manifolds
5. Prolongations of G-Structures to Tangent Bundles
6. Non Linear Connections in Tangent Bundles
7. Vertical and Complete Lifts from a Manifold to its Contangent Bundle
8. Horizontal Lifts from a Manifold to its Contangent Bundle
9. Tensor Fields and Connections on Cross Sections in the Contangent Bundle
10. Prolongations of Tensor Fields and Connections to the Tangent Bundle of Order 2
11. Prolongations of Tensor Fields connections and G-Structures to the Tangent Bundle of Higher Order
Reference
Index
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