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arXiv · 1608.07667

Conformal Vector Fields of a Class of Finsler Spaces II

Guojun Yang
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Abstract

In this paper, we first give two fundamental principles under a technique to characterize conformal vector fields of $(\alpha,\beta)$ spaces to be homothetic and determine the local structure of those homothetic fields. Then we use the principles to study conformal vector fields of some classes of $(\alpha,\beta)$ spaces under certain curvature conditions. Besides, we construct a family of non-homothetic conformal vector fields on a family of locally projectively Randers spaces.

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Guojun Yang. 2016-08-27. Conformal Vector Fields of a Class of Finsler Spaces II. https://arxiv.org/abs/1608.07667

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