Supported by the National Natural Science Foundation of China(11771020,12171005).
In this paper,we study a class of Finsler metrics defined by a vector field on a gradient Ricci soliton.We obtain a necessary and sufficient condition for these Finsler metrics on a compact gradient Ricci soliton to b...
the National Natural Science Foundation of China(12131012,12001007,11821101);the Beijing Natural Science Foundation(1222003,Z180004);the Natural Science Foundation of Anhui province(1908085QA03)。
Letting F be a homogeneous(α_(1),α_(2))metric on the reductive homogeneous manifold G/H,we first characterize the natural reductiveness of F as a local f-product between naturally reductive Riemannian metrics.Second...
Supported by the National Natural Science Foundation of China(Grant Nos.11871126 and 12141101);Technology Research Foundation of Chongqing Educational committee(Grant No.KJQN201900530);Chongqing Normal University Science Research Fund(Grant No.17XLB022)。
This paper discusses the sprays of isotropic curvature.We first determine the relationship betweenχ-curvatures of two projectively related sprays.Based on this,we find an approach to construct sprays of isotropic cur...
supported by National Natural Science Foundation of China(Grant Nos.12001165,11971401,12071386,11701494 and 11971415);Postdoctoral Research Foundation of China(Grant No.2019M652513);Postdoctoral Research Grant in Henan Province(Grant No.19030050);the Nanhu Scholars Program for Young Scholars of Xinyang Normal University。
In this paper,we study conformal transformations in complex Finsler geometry.We first prove that two weakly Kahler Finsler metrics cannot be conformal.Moreover,we give a necessary and sufficient condition for a strong...
supported by the NationalNatural Science Foundation of China(11871126);the Science Foundation of Chongqing Normal University(17XLB022)。
In this paper,we study the(α,β)-metrics of constant flag curvature.We characterize almost regular(α,β)-metrics of constant flag curvature under the condition that β is a homothetic 1-form with respect to a.Furthe...
supported in part by the National Natural Science Foundation of China(Grant Nos.11871126,11501067,11571184).
We prove that a Finsler manifold with vanishing Berwald scalar curvature has zero E-curvature.As a consequence,Landsberg manifolds with vanishing Berwald scalar curvature are Berwald manifolds.For(α,β)-metrics on ma...
Natural Science Foundation of Xinjiang Uygur Autonomous Region,China(Grant No.2015211C277)。
Doubly warped product of Finsler manifolds is useful in theoretical physics,particularly in general relativity.In this paper,we study doubly warped product of Finsler manifolds with isotropic mean Berwald curvature or...
This work was supported in part by the Natural Science Foundation of Anhui Province (No. 1608085MA03) and the National Natural Science Foundation of China (Grant No. 11471246).
We obtain the Laplacian comparison theorem and the Bishop- Gromov comparison theorem on a Finsler manifold with the weighted Ricci curvature Ric∞ bounded below. As applications, we prove that if the weighted Ricci cu...
supported by National Natural Science Foundation of China(Grant Nos.11371386 and 11471226);the European Union’s Seventh Framework Programme(FP7/2007-2013)(Grant No.317721)
For an(α, β)-metric(non-Randers type) of isotropic S-curvature on an n-dimensional manifold with non-constant norm ‖β‖α, we first show that n = 2, and then we characterize such a class of two-dimensional(α, β)...
In this paper, we study generalized Douglas-Weyl (α,β)-metrics. Suppose that a regular (α,β)-metric F is not of Randers type. We prove that F is a generalized Douglas-Weyl metric with vanishing S-curvature if ...