On a class of Ricci quadratic Finsler metrics
Özet
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 product metrics with quadratic Ricci curvature, indeed, the metrics in this class are Einstein but not Ricci flat. We find an equation that characterizes Finsler warped product metrics as a strongly Ricci-quadratic.
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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 Ricci-quadratic Finsler metrics
Sengelen Sevim, Esra; Shen, Zhongmin; Ülgen, Semail (4th International Conference on Applied Engineering and Natural Sciences, 2022)In this paper, the Ricci curvature is defined for sprays on a manifold and every spray with a volume form on a manifold can be deformed to a projective spray. The quadratic Ricci curvature of a projective spray is called ... -
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 ...