Initiation to Global Finslerian Geometry: Volume 68 (Hardcover) (ISBN-13: 9780444521064)

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.

Author: Hassan Akbar-Zadeh
ISBN-10: 0444521062
ISBN-13: 9780444521064
Publisher: Elsevier Science
Language: English
Published: 02/01/2006
Pages: 264
Format: Hardcover
Weight: 1.17lbs
Size: 9.16h x 6.08w x 0.66d