Conformal Vector Fields On Projectively Flat $(\alpha,\beta)$-Finsler Spaces
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Publication:6250700
DOI10.1016/J.DIFGEO.2022.101972arXiv1404.3360MaRDI QIDQ6250700
Publication date: 13 April 2014
Abstract: In this paper, it is proved that any conformal vector field is homothetic on a locally projectively flat -space of non-Randers type in dimension , and the local solutions of such a vector field are determined. While on a locally projectively flat Randers space, examples showthat the conformal vector fields are not necessarily homothetic.
Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40)
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