On some Ricci curvature tensors in Finsler geometry
Özet
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 non-Riemannian quantities.
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On a class of Ricci quadratic Finsler metrics
Gabrani, Mehran; Şengelen Sevim, Esra; Ülgen, Semail (2024)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 ... -
On a class of Ricci quadratic Finsler metrics
Gabrani, Mehran; Sengelen Sevim, Esra; Ülgen, Semail (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 ... -
On strongly Ricci-quadratic finsler metrics
Şengelen Sevim, Esra; Shen, Zhongmin; Ülgen, Semail (Springer, 2023)Finsler metrics being Ricci-quadratic is a non-Riemannian condition since the Ricci curvature (tensor) is always Ricci-quadratic for Riemannian metrics. In this paper, we introduce the notion of strongly Ricci-quadratic ...