Initiation to Global Finslerian Geometry

Nonfiction, Science & Nature, Mathematics, Geometry
Cover of the book Initiation to Global Finslerian Geometry by Hassan Akbar-Zadeh, Doctorat d Etat en Mathématiques Pures June 1961 La Sorbonne, Paris., Elsevier Science
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Author: Hassan Akbar-Zadeh, Doctorat d Etat en Mathématiques Pures June 1961 La Sorbonne, Paris. ISBN: 9780080461700
Publisher: Elsevier Science Publication: January 18, 2006
Imprint: Elsevier Science Language: English
Author: Hassan Akbar-Zadeh, Doctorat d Etat en Mathématiques Pures June 1961 La Sorbonne, Paris.
ISBN: 9780080461700
Publisher: Elsevier Science
Publication: January 18, 2006
Imprint: Elsevier Science
Language: English

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.

  • 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.
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

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