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Viewing Finsler spaces as regular metric spaces, this work discusses the problems from the modern metric geometry point of view. It addresses the basics on Finsler spaces, then deals with basic comparison theorems on metrics and measures and their applications to the Levy concentration theory.
Finsler spaces. --- Geometry, Differential. --- Differential geometry --- Spaces, Finsler --- Geometry, Differential
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Differential geometry. Global analysis --- Complex manifolds --- Finsler spaces --- Spaces [Finsler ] --- Variétés complexes --- Veelvouden [Complexe ] --- Finsler spaces. --- Complex manifolds.
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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 global problems in Finslerian Geometry. The next five chapters are independent of each other, and deal with among others the geometry of generalized Einstein manifolds, the classification of Finslerian manifolds of constant sectional curvatures. They also give a treatment of isometric, affine, p
Finsler spaces. --- Global differential geometry. --- Manifolds (Mathematics) --- Geometry, Differential --- Topology --- Spaces, Finsler --- Finsler spaces --- Global differential geometry
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