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On Einstein Finsler metrics
(World Scientific Publishing Company, 2021)
In this paper, we study Finsler metrics expressed in terms of a Riemannian metric, a 1-form, and its norm and find equations with sufficient conditions for such Finsler metrics to become Ricci-flat. Using certain ...
On some Ricci curvature tensors in Finsler geometry
(4th International Conference on Applied Engineering and Natural Sciences, 2022)
In this paper we discuss several Ricci curvature tensors and their relationship with the Ricci curvature and some non-Riemannian quantities. By these Ricci curvature tensors, we shall have a better understanding on the ...
On a class of Ricci quadratic Finsler metrics
(4th International Conference on Applied Engineering and Natural Sciences, 2022)
In this paper, we study a class of Finsler warped product metrics with quadratic Ricci curvature. This class is characterized by a partial differential equation. In particular, we obtain a special class of Finsler warped ...