Skip to main content

Initiation to Global Finslerian Geometry

  • 1st Edition, Volume 68 - January 18, 2006
  • Author: Hassan Akbar-Zadeh
  • Language: English
  • Hardback ISBN:
    9 7 8 - 0 - 4 4 4 - 5 2 1 0 6 - 4
  • eBook ISBN:
    9 7 8 - 0 - 0 8 - 0 4 6 1 7 0 - 0

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… Read more

Initiation to Global Finslerian Geometry

Purchase options

LIMITED OFFER

Save 50% on book bundles

Immediately download your ebook while waiting for your print delivery. No promo code needed.

Image of books

Institutional subscription on ScienceDirect

Request a sales quote
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.