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Conformal vector fields on some Finsler manifolds

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Abstract

We study conformal vector fields on a Finsler manifold whose metric is defined by a Riemannian metric, a 1-form and its norm. We find PDEs characterizing conformal vector fields. Then we obtain the explicit expressions of conformal vector fields for certain spherically symmetric metrics on Rn.

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Correspondence to ZhongMin Shen.

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Shen, Z., Yuan, M. Conformal vector fields on some Finsler manifolds. Sci. China Math. 59, 107–114 (2016). https://doi.org/10.1007/s11425-015-5099-9

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  • DOI: https://doi.org/10.1007/s11425-015-5099-9

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