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An introduction to Finsler geometry /

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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Détails bibliographiques
Cote:Libro Electrónico
Auteur principal: Mo, Xiaohuan
Format: Électronique eBook
Langue:Inglés
Publié: Singapore ; Hackensack, NJ : World Scientific, ©2006.
Collection:Peking University series in mathematics ; v. 1.
Sujets:
Accès en ligne:Texto completo
Table des matières:
  • 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.