Finsler Manifold
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In mathematics, particularly differential geometry, a Finsler manifold is a differentiable manifold together with the structure of an intrinsic quasimetric space in which the length of any rectifiable curve :[a,b] M is given by the length functional L[gamma] = int_a^b F(gamma(t),dot{gamma}(t)),dt, where F(x, · ) is a Minkowski norm (or at least an asymmetric norm) on each tangent space TxM. Finsler manifolds generalize Riemannian manifolds by no longer assuming that they are infinitesimally Euclidean in the sense that the (asymmetric) norm on each tangent space is induced by an inner product (metric tensor).…mehr

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Produktbeschreibung
In mathematics, particularly differential geometry, a Finsler manifold is a differentiable manifold together with the structure of an intrinsic quasimetric space in which the length of any rectifiable curve :[a,b] M is given by the length functional L[gamma] = int_a^b F(gamma(t),dot{gamma}(t)),dt, where F(x, · ) is a Minkowski norm (or at least an asymmetric norm) on each tangent space TxM. Finsler manifolds generalize Riemannian manifolds by no longer assuming that they are infinitesimally Euclidean in the sense that the (asymmetric) norm on each tangent space is induced by an inner product (metric tensor).