Douglas metricS-curvature53B4053C60In this paper, we study generalized Douglas-Weyl (, )-metrics. Suppose that a regular (, )-metric is not of Randers type. We prove that is a generalized Douglas-Weyl metric wit
We study the Yang–Mills measure on the sphere with unitary structure group. In the limit where the structure group has high dimension, we show that t
Furthermore, we construct a family of generalized Douglas-Weyl Randers metrics which are not R -quadratic. We show that the Randers metric induced by a Kenmotsu manifold is a Douglas metric which is not of isotropic S -curvature. We show that the Randers metric induced by a Kenmotsu or ...
We study a class of Finsler metrics whose Douglas curvature is constant along any Finslerian geodesics. This class of Finsler metrics is a subclass of the class of generalized Douglas-Weyl metrics and contains the class of Douglas metrics as a special case. We find a condition under which ...
We prove a rigidity result for homogeneous generalized Douglas–Weyl metrics of Landsberg-type. We show that such metrics have constant \\(\\mathbf{H}\\) -curvature along geodesics. Then, we prove that every homogeneous D-recurrent Finsler metric is a Douglas metric. It turns out that a ...