An introduction to Finsler geometry /

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This introductory book uses the moving frame as a tool and develops Finsler geometry on the basis of the Chern connection and the projective sphere bundle. It systematically introduces three classes of geometrical invariants on Finsler manifolds and their intrinsic relations, analyzes local and glob...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Mo, Xiaohuan
Format: Electronic eBook
Language:Inglés
Published: Singapore ; Hackensack, NJ : World Scientific, ©2006.
Series:Peking University series in mathematics ; v. 1.
Subjects:
Finsler spaces.
Manifolds (Mathematics)
Geometry, Riemannian.
Espaces de Finsler.
Variétés (Mathématiques)
Géométrie de Riemann.
MATHEMATICS > Geometry > Analytic.
Finsler spaces
Geometry, Riemannian
Online Access:Texto completo
Table of Contents:
  • Finsler manifolds
  • Geometric quantities on a Minkowski space
  • Chern connection
  • Covariant differentiation and second class of geometric invariants
  • Riemann invariants and variations of arc length
  • Geometry of projective sphere bundle
  • Relation among three classes of invariants
  • Finsler manifolds with scalar curvature
  • Harmonic maps from Finsler manifolds.

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