Questions tagged [finsler-geometry]

Finsler geometry is a metric generalization of Riemannian geometry, where the general definition of the length of a vector is not necessarily given in the form of the square root of a quadratic form as in the Riemannian case.

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Geodesic on Finsler surface

Consider $S$ which is a two-dimensional surface with an induced metric from a normed space $(\mathbb{R}^3,\|\ \|)$. When $c$ is a curve of unit speed $c : [0,l]\rightarrow S$, i.e. $\| c'(t)\|=1$, s.t. $c(0)=p,\ c(l)=q$, then consider a variation $c…
HK Lee
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