mathematics, particularly differential geometry, a Finsler manifold is a differentiable manifold M where a (possibly asymmetric) Minkowski norm F(x,...

inner product. Any Riemannian manifold is a Finsler manifold. Lie groups, named after Sophus Lie, are differentiable manifolds that carry also the structure...

Generalizations of Riemannian manifolds include pseudo-Riemannian manifolds, Finsler manifolds, and sub-Riemannian manifolds. In 1827, Carl Friedrich Gauss...

Topological manifold Almost complex manifold Almost symplectic manifold Calibrated manifold Complex manifold Contact manifold CR manifold Finsler manifold Hermitian...

smooth manifold can be given a non-Riemannian pseudo-Riemannian structure; there are topological restrictions on doing so. A Finsler manifold is a different...

Rizza manifold, named after Giovanni Battista Rizza, is an almost complex manifold also supporting a Finsler structure: this kind of manifold is also...

Holmes–Thompson volume of a measurable set A {\displaystyle A} in a Finsler manifold ( M , F ) {\displaystyle (M,F)} can be defined as Vol HT ⁡ ( A ) :=...

non-linear connection arising in this manner is that associated to a Finsler manifold. Equation (1) is invariant under affine reparameterizations; that is...

Paul Finsler (born 11 April 1894, in Heilbronn, Germany, died 29 April 1970 in Zurich, Switzerland) was a German and Swiss mathematician. Finsler did his...

Riemannian or Pseudo-Riemannian manifold. By contrast, in general there is no way to define normal coordinates for Finsler manifolds in a way that the exponential...