1 citations · 4 across the 10 of their papers we have counts for
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Some inequalities and gradient estimates for harmonic functions on Finsler measure spaces
Xinyue Cheng, Yalu Feng
In this paper, we study functional and geometric inequalities on complete Finsler measure spaces under the condition that the weighted Ricci curvature has a lowe…
The characterizations on a class of weakly weighted Einstein-Finsler metrics
Xinyue Cheng, Hong Cheng, Pengsheng Wu
In this paper, we study the weakly weighted Einstein-Finsler metrics. First, we show that weakly weighted Einstein-Kropina metrics must be of isotropic S-curvature with respect to…
Some inequalities on Finsler manifolds with weighted Ricci curvature bounded below
Xinyue Cheng, Zhongmin Shen
We establish some important inequalities under a lower weighted Ricci curvature bound on Finsler manifolds. Firstly, we establish a relative volume comparison of Bishop-Gromov type…
Some important applications of improved Bochner inequality on Finsler manifolds
Xinyue Cheng
We establish some important inequalities under the condition that the weighted Ricci curvature for some constant by using improved Bochner ineq…
The navigation problems and the curvature properties on conic Kropina manifolds
Xinyue Cheng, Qiuhong Qu, Suiyun Xu
In this paper, we study navigation problems on conic Kropina manifolds. Let be a conic Kropina metric on an -dimensional manifold and be a conformal vector fie…
The Randers metrics of weakly isotropic scalar curvature
Xinyue Cheng, Yannian Gong
In this paper, we study the Randers metrics of weakly isotropic scalar curvature. We prove that a Randers metric of weakly isotropic scalar curvature must be of isotropic -curva…