# Questions tagged [finsler]

For questions about Finsler geometry.

8 questions with no upvoted or accepted answers
Filter by
Sorted by
Tagged with
0answers
40 views

### Geodesics of non-smooth Finsler structure, or non-smooth Lagrange problem

I need to find the geodesics of a certain Finsler structure on $\mathbb R^n$. The structure is determined by quite nice $\ell^1$-like norms on tangent spaces, so that it is reversible. However the ...
0answers
100 views

### Existence of connections in a vector bundle whose parallel transport preserves a function on a total space

Let $p:E \to M$ be a vector bundle over a smooth manifold $M$, $M\times 0$ be the image of its zero section of $p$, $\mathcal{X}(M)$ be the space of vector fields on $M$, and $\Gamma(E)$ be the space ...
0answers
71 views

### How to find geodesics in a Randers spaces?

Consider a Randers space $(M,F)$ that is the solution of the zermelo's navigation problem associated to a wind $W$ which is homothety; $\mathcal{L}_Wh=\sigma h$, $\delta$ constant, on a Riemannian ...
0answers
83 views

### Minkowski functional on infinite dimensional vector spaces

In finite dimensional Finsler geometry, we define Minkowski functional on tangent spaces that are finite dimensional vector spaces. The definition of Minkowski functional can be generalized to ...
0answers
128 views

### Exponential Map for non-smooth Finsler manifolds

Context If I'm interested in studying reversible Finsler manifolds which do not have the strong convexity of the Hessian property (that is the Finsler function is a regular norm on every tangent ...
0answers
52 views