Some Conformal Transformations on Finsler Warped Product Manifolds

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