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| INITIATION TO GLOBAL FINSLERIAN GEOMETRY, 68
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By
Hassan Akbar-Zadeh, Doctorat d Etat en Mathématiques Pures June 1961 La Sorbonne, Paris., Director of Research at C.N.R.S., Paris, France.
Included in series
North-Holland Mathematical Library, 68
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.
Audience
Graduate students, university libraries and researchers.
Contents
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
| Bibliographic details |
Hardbound, 264 pages, publication date: JAN-2006
ISBN-13: 978-0-444-52106-4
ISBN-10: 0-444-52106-2
Imprint: ELSEVIER
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| Price and Ordering |
Price:
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USD 146
EUR 112.95
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Last update: 5 Sep 2009
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