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arXiv · 1811.12716

Finsler connection in moving frame formalism

Takayoshi Ootsuka·Muneyuki Ishida·Ryoko Yahagi
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Abstract

In our previous work, we have defined a nonlinear connection of Finsler manifold which preserves the Finsler metric $L=L(x,dx)$. To make the method easier and more useful in applications, moving frame (vielbein) $θ^a={e^a}_μdx^μ$ formalism for the nonlinear connection is newly considered. We derive formulae to calculate the Finsler connection in the specific case that the Finsler metric depends not on coordinates $x^μ$, but only on moving frame $θ^a$: $L=L(θ)$.

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Takayoshi Ootsuka, Muneyuki Ishida, Ryoko Yahagi. 2018-11-30. Finsler connection in moving frame formalism. https://arxiv.org/abs/1811.12716

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