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Conformal Vector Fields On Projectively Flat $(alpha,beta)$-Finsler Spaces

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 Added by Guojun Yang
 Publication date 2014
  fields
and research's language is English
 Authors Guojun Yang




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In this paper, it is proved that any conformal vector field is homothetic on a locally projectively flat $(alpha,beta)$-space of non-Randers type in dimension $nge 3$, 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.



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71 - Guojun Yang 2018
In this paper, we characterize conformal vector fields of any (regular or singular) $(alpha,beta)$-space with some PDEs. Further, we show some properties of conformal vector fields of a class of singular $(alpha,beta)$-spaces satisfying certain geometric conditions.
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