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Initiation to Global Finslerian Geometry
 
 

Initiation to Global Finslerian Geometry, 1st Edition

 
Initiation to Global Finslerian Geometry, 1st Edition,Hassan Akbar-Zadeh,ISBN9780444521064
 
 
 

  

Elsevier Science

9780444521064

9780080461700

264

225 X 150

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Key Features

- Theory of connections of vectors and directions on the unitary tangent fibre bundle.

- Complete list of Bianchi identities for a regular conection of directions.

- Geometry of generalized Einstein manifolds.

- Classification of Finslerian manifolds.

- Affine, isometric, conformal and projective vector fields on the unitary tangent fibre bundle.

Description

After a brief description of the evolution of thinking on Finslerian geometry starting from Riemann, Finsler, Berwald and Elie Cartan, the book gives a clear and precise treatment of this geometry. The first three chapters develop the basic notions and methods, introduced by the author, to reach the global problems in Finslerian Geometry. The next five chapters are independent of each other, and deal with among others the geometry of generalized Einstein manifolds, the classification of Finslerian manifolds of constant sectional curvatures. They also give a treatment of isometric, affine, projective and conformal vector fields on the unitary tangent fibre bundle.



Key features



- Theory of connections of vectors and directions on the unitary tangent fibre bundle.

- Complete list of Bianchi identities for a regular conection of directions.

- Geometry of generalized Einstein manifolds.

- Classification of Finslerian manifolds.

- Affine, isometric, conformal and projective vector fields on the unitary tangent fibre bundle.

Readership

Graduate students, university libraries and researchers.

Hassan Akbar-Zadeh

Doctorat d Etat en Mathématiques Pures June 1961 La Sorbonne, Paris.

Affiliations and Expertise

Director of Research at C.N.R.S., Paris, France.

Initiation to Global Finslerian Geometry, 1st Edition

Preface
Introduction
I. Linear Connections on a Space of Linear Elements
II. Finslerian Manifolds
III. Infinitesimal Transformation
IV. Geometry of Generalized Einstein Manifolds
V. Properties of Compact Finslerian Manifolds of Non-Negative Curvature
VI. Finslerian Manifolds of Constant Sectional Curvatures
VII. Projective Vector Fields on the Unitary Tangent Fibre Bundle
VIII. Conformal Vector Fields on the Unitary Tangent Fibre Bundle
References
 
 
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