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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Mo, Xiaohuan
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Singapore ; Hackensack, NJ : World Scientific, ©2006.
Colección:Peking University series in mathematics ; v. 1.
Temas:
Finsler spaces.
Manifolds (Mathematics)
Geometry, Riemannian.
Espaces de Finsler.
Variétés (Mathématiques)
Géométrie de Riemann.
MATHEMATICS > Geometry > Analytic.
Finsler spaces
Geometry, Riemannian
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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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