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.
By:
Hassan Akbar-Zadeh (Director of Research at C.N.R.S. Paris France.) Imprint: Elsevier Science Ltd Country of Publication: United Kingdom Volume: v. 68 Dimensions:
Height: 225mm,
Width: 149mm,
Spine: 17mm
Weight: 520g ISBN:9780444521064 ISBN 10: 0444521062 Series:North-Holland Mathematical Library Pages: 264 Publication Date:18 January 2006 Audience:
Professional and scholarly
,
Undergraduate
Format:Hardback Publisher's Status: Active
