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arXiv · 1706.06079

On Horizontal Recurrent Finsler Connections

Nabil L. Youssef·A. Soleiman
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Abstract

In this paper we adopt the pullback approach to global Finsler geometry. We investigate horizontally recurrent Finsler connections. We prove that for each scalar ($\pi$)1-form $A$, there exists a unique horizontally recurrent Finsler connection whose $h$-recurrence form is $A$. This result generalizes the existence and uniqueness theorem of Cartan connection. We then study some properties of a special kind of horizontally recurrent Finsler connection, which we call special HRF-connection.

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BibTeXRIS

Nabil L. Youssef, A. Soleiman. 2017-06-19. On Horizontal Recurrent Finsler Connections. https://arxiv.org/abs/1706.06079

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