Two new families of Finsler connections on even-dimensional manifolds

Hamid Reza Salimi Moghaddam

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arXiv · 1305.5996

Two new families of Finsler connections on even-dimensional manifolds

Hamid Reza Salimi Moghaddam

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Abstract

Let $F^{2n}=(M,M',F^{\ast})$ be an even-dimensional pseudo-Finsler manifold. We construct an almost hypercomplex structure on any chart domain of a certain atlas of $M'$ by using a considered non-linear connection. Then by using the almost hypercomplex structure we define two new families of Finsler connections. Also we show that for any Finsler connection $\nabla$ there exists a linear connection $D$ such that the local almost hypercomplex structure is parallel with respect to it.

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Hamid Reza Salimi Moghaddam. 2013-05-26. Two new families of Finsler connections on even-dimensional manifolds. https://arxiv.org/abs/1305.5996

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