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Conformal Vector Fields on Finsler Warped Product Manifolds

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Abstract

In this paper, we study the conformal vector fields on Finsler warped product manifolds. We obtain a system of equivalent equations that the conformal vector fields on Finsler warped product manifolds satisfy and completely characterize conformal vector fields on such manifolds. Further, by solving the equation, we give the classification. And we also give some examples.

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Authors and Affiliations

  1. College of Mathematics and Systems Science, Xinjiang University, Urumqi, 830046, P. R. China

    Xiao Ling Zhang & Ya Lu Feng

Authors
  1. Xiao Ling Zhang
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  2. Ya Lu Feng
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Correspondence to Ya Lu Feng.

Additional information

Supported by National Natural Science Foundation of China (Grant Nos. 11961061, 11461064, 11761069) and Natural Science Foundation of Xinjiang Uygur Autonomous Region, China (Grant No. 2015211C277)

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Zhang, X.L., Feng, Y.L. Conformal Vector Fields on Finsler Warped Product Manifolds. Acta. Math. Sin.-English Ser. 39, 1624–1634 (2023). https://doi.org/10.1007/s10114-023-1269-9

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  • DOI: https://doi.org/10.1007/s10114-023-1269-9

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