Initiation to global Finslerian geometry /

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...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Akbar-Zadeh, H.
Format: Electronic eBook
Language:Inglés
Published: Amsterdam ; Boston : Elsevier, 2006.
Edition:1st ed.
Series:North-Holland mathematical library ; v. 68.
Subjects:
Finsler spaces.
Global differential geometry.
Manifolds (Mathematics)
Espaces de Finsler.
G�eom�etrie diff�erentielle globale.
Vari�et�es (Math�ematiques)
MATHEMATICS > Geometry > Analytic.
Finsler spaces
Global differential geometry
Online Access:Texto completo
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Table of Contents:
  • Preface
  • Introduction
  • I. Linear Connections on a Space of Linear Elements
  • II. Finslerian Manifolds
  • III. Infinitesimal Transformation
  • IV. Geometry of Generalized Einstein Manifolds
  • V. Properties of Compact Finslerian Manifolds of Non-Negative Curvature
  • VI. Finslerian Manifolds of Constant Sectional Curvatures
  • VII. Projective Vector Fields on the Unitary Tangent Fibre Bundle
  • VIII. Conformal Vector Fields on the Unitary Tangent Fibre Bundle
  • References.

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