Articles liés à Initiation to Global Finslerian Geometry

Initiation to Global Finslerian Geometry - Couverture rigide

Akbar-Zadeh Doctorat D Etat En Mathématiques Pures June 1961 La Sorbonne Paris., Hassan

 
9780444521064: Initiation to Global Finslerian Geometry
Couverture rigide
ISBN 10 : 0444521062 ISBN 13 : 9780444521064
Editeur : Elsevier Science Ltd, 2006

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

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.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Elsevier Science Ltd
Date d'édition
2006
Langue
anglais
ISBN 10 
0444521062
ISBN 13 
9780444521064
Reliure
Relié
Nombre de pages
264
Coordonnées du fabricant
non disponible
Personne responsable
Barbara Criscuolo
b.criscuolo@lswr.it

Via Spadolini, 7
Milano
20141
Italie