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...
Clasificación: | Libro Electrónico |
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Autor principal: | |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
Amsterdam ; Boston :
Elsevier,
2006.
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Edición: | 1st ed. |
Colección: | North-Holland mathematical library ;
v. 68. |
Temas: | |
Acceso en línea: | Texto completo Texto completo Texto completo Texto completo |
Tabla de Contenidos:
- 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.