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 with vanishing S-curvature if and only if it is a Berwald metric. Moreover, ...
On Generalized Douglas-Weyl $(\\alpha, \\beta)$-Metrics In this paper, we study generalized Douglas-Weyl $(\\alpha, \\beta)$-metrics.Suppose that an regular $(\\alpha, \\beta)$-metric $F$ is not of Randers type... A Tayebi,H Sadeghi 被引量: 18发表: 2015年 Generalized...
4.2 Generalized Makeenko–Migdal equations Let {\mathfrak {l}} be a combinatorial planar loop. Write m and p for the numbers of edges and faces in the associated combinatorial graph. Let H=(H_\gamma :\gamma \in {\text {Path}}({\mathbb {S}}_T)) be a Yang–Mills holonomy field ...
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 ...
DouglasR.AndersonElsevier Inc.Journal of Mathematical Analysis and ApplicationsD. R. Anderson, "Titchmarsh-Sims-Weyl theory for complex Hamiltonian systems on Sturmian time scales," Journal of Mathematical Analysis and Applications, vol. 373, no. 2, pp. 709-725, 2011....
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 ...
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 ...