Differential Geometry of Spray and Finsler Spaces formatIsbn:Hardcover - 9780792368687 que de paroles perdues

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Differential Geometry of Spray and Finsler Spaces formatIsbn:Hardcover - 9780792368687 que de paroles perduesIn this book we study sprays and Finsler metrics. Roughly speaking, a spray on a manifold consists of compatible systems of second order ordinary differential equations. A Finsler metric on a manifold is a family of norms in tangent spaces, which vary smoothly with the base point. Every Finsler metric determines a spray by its systems of geodesic equations. Thus, Finsler spaces can be viewed as special spray spaces. On the other hand, every Finsler