# Relation between metric spaces and Finsler spaces

@article{Tamssy2008RelationBM,
title={Relation between metric spaces and Finsler spaces},
author={Lajos Tam{\^a}ssy},
journal={Differential Geometry and Its Applications},
year={2008},
volume={26},
pages={483-494}
}
• L. Tamâssy
• Published 1 October 2008
• Mathematics
• Differential Geometry and Its Applications
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• 2015
The distance function $${\varrho(p, q) ({\rm or} d(p, q))}$$ϱ(p,q)(ord(p,q)) of a distance space (general metric space) is not differentiable in general. We investigate such distance spaces over
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First we present a short overview of the long history of projectively flat Finsler spaces. We give a simple and quite elementary proof of the already known condition for the projective flatness, and
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Acta Mathematica Hungarica
• 2013
First we present a short overview of the long history of projectively flat Finsler spaces. We give a simple and quite elementary proof of the already known condition for the projective flatness, and
Linear and metrical connections of a Riemannian space, whose indicatrices are ellipsoids, are established in the tangent bundle. lndicatrices of Finsler spaces are smooth, starshaped and convex
• Mathematics
The Annals of Applied Probability
• 2019
Given a `cost' functional $F$ on paths $\gamma$ in a domain $D\subset\mathbb{R}^d$, in the form $F(\gamma) = \int_0^1 f(\gamma(t),\dot\gamma(t))dt$, it is of interest to approximate its minimum cost
• Mathematics
• 2019
This paper discusses a general and useful stability principle which, roughly speaking, says that given a uniformly continuous function defined on an arbitrary metric space, if the function is bounded
The Raychaudhuri equation and its consequences for chronality are studied in the context of Finsler spacetimes. It is proved that the notable singularity theorems of Lorentzian geometry extend to the

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We present a geometric construction of and constructive investigations in Finsler spaces ˜ F n = (M; ˜ L) whose indicatrices ˜ I(x) are ane images of a single indicatrix: ˜ I(x) = (x)I0. These are
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