27 citations · 39 across the 18 of their papers we have counts for
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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…
Non-uniqueness of steady-state weak solutions to the surface quasi-geostrophic equations
Xinyu Cheng, Hyunju Kwon, Dong Li
We show the existence of nontrivial stationary weak solutions to the surface quasi-geostrophic equations on the two dimensional periodic torus.
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…