On a class of conformally invariant semi basic vector one forms

Akbar Tayebi; Mansoor Barzegari

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arXiv · 1706.07942

On a class of conformally invariant semi basic vector one forms

Akbar Tayebi·Mansoor Barzegari

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Abstract

In this paper, we define conservative semibasic vector $1-$forms on the tangent bundle of a Finsler manifold. Using these vector $1-$forms, we characterize conservative $L-$Ehresmann connections with respect to the energy function. Then we find a correspondence between torsion-free semibasic vector $1-$forms and the subset of vertical vector fields. Taking into account this correspondence, we construct a class of semisprays that generates the Ehresmann connections mentioned above.

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Akbar Tayebi, Mansoor Barzegari. 2017-06-24. On a class of conformally invariant semi basic vector one forms. https://arxiv.org/abs/1706.07942

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