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arXiv · 0911.3511

Shen's Processes on Finslerian Connections

A. Tayebi·B. Najafi
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Abstract

In this paper, we discuss the invariant properties of curvatures effected by the Matsumoto's $C$ or $L$-process. We find equivalent conditions on curvatures by comparing the difference between the corresponding curvatures of closely related connections. As an application, Matsumoto's $L$-process on Randers manifold is studied. Shen connection can not be obtained by using Matsumoto's processes from other well-known connections. This leads us to two new processes which we call Shen's $C$ and $L$-processes. We study the invariant properties of curvatures under the Shen's processes.

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A. Tayebi, B. Najafi. 2009-11-18. Shen's Processes on Finslerian Connections. https://arxiv.org/abs/0911.3511

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