Some Conformal Transformations on Finsler Warped Product Manifolds

Yuze Ren, Xiaoling Zhang () and Lili Zhao
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Yuze Ren: College of Mathematics and System Sciences, Xinjiang University, Urumqi 830017, China
Xiaoling Zhang: College of Mathematics and System Sciences, Xinjiang University, Urumqi 830017, China
Lili Zhao: School of Mathematical Sciences, Shanghai Jiao Tong University, Shanghai 200240, China

Mathematics, 2023, vol. 11, issue 10, 1-13

Abstract: The conformal transformation, which preserves Einstein metrics on Finsler warped product manifolds, is studied in this paper. We obtain sufficient and necessary conditions of a conformal transformation preserving Einstein metrics. In addition, we provide nontrivial examples of conformal transformations. Furthermore, we completely classify Einstein Riemannian warped product metrics and obtain the existence of a nontrivial conformal transformation that preserves Einstein metrics.

Keywords: conformal transformations; Einstein metrics; Finsler warped product metrics (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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