S-CURVATURE

作品数:17被引量:26H指数:3
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相关领域:理学更多>>
相关期刊:《Science China Mathematics》《Acta Mathematica Scientia》《Chinese Annals of Mathematics,Series B》《Frontiers of Mathematics in China》更多>>
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Navigation Finsler metrics on a gradient Ricci soliton
《Applied Mathematics(A Journal of Chinese Universities)》2024年第2期266-275,共10页LI Ying MO Xiao-huan WANG Xiao-yang 
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...
关键词:gradient Ricci soliton navigation Finsler metric isotropic S-curvature Ricci curvature Gaussian shrinking soliton 
NATURALLY REDUCTIVE(α_(1),α_(2))METRICS
《Acta Mathematica Scientia》2023年第4期1547-1560,共14页谭举 许明 
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...
关键词:(α_1 α_2)metric homogeneous Finsler space naturally reductive S-CURVATURE 
The Characterizations and Constructions of Sprays of Isotropic Curvature
《Acta Mathematica Sinica,English Series》2022年第9期1612-1620,共9页Xin Yue CHENG Ke Xiang CAO Chun Yan QING 
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...
关键词:SPRAY spray of isotropic curvature χ-curvature S-CURVATURE Funk metric 
On conformal complex Finsler metrics被引量:1
《Science China Mathematics》2022年第7期1517-1530,共14页Hongjun Li Chunhui Qiu Hongchuan Xia Guozhu Zhong 
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...
关键词:weakly Kahler Finsler metric locally conformal weakly Kahler Finsler metric GEODESIC holomorphic S-curvature mean Landsberg tensor 
ON(α,β)-METRICS OF CONSTANT FLAG CURVATURE
《Acta Mathematica Scientia》2022年第2期755-768,共14页Guangzu CHEN Xinyue CHENG 
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...
关键词: β)-metric flag curvature S-CURVATURE mean Landsberg curvature Riemannian metric Minkowski metric homothetic 1-form 
Properties of Berwald scalar curvature被引量:3
《Frontiers of Mathematics in China》2020年第6期1143-1153,共11页Ming LI lIHONG zhang 
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...
关键词:Landsberg curvature Berwald curvature E-curvature S-curvature Berwald scalar curvature 
S-curvature of Doubly Warped Product of Finsler Manifolds被引量:3
《Acta Mathematica Sinica,English Series》2020年第11期1292-1298,共7页Zhao YANG Yong HE Xiao Ling ZHANG 
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...
关键词:Doubly warped product of Finsler manifold weak isotropic S-curvature isotropic mean Berwald curvature weakly Berwald manifolds 
Comparison theorems on Finsler manifolds with weighted Ricci curvature bounded below被引量:1
《Frontiers of Mathematics in China》2018年第2期435-448,共14页Songting YIN 
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...
关键词:Finsler manifold DISTORTION S-CURVATURE weighted Ricci curvature comparison theorem 
On a class of two-dimensional Finsler manifolds of isotropic S-curvature
《Science China Mathematics》2018年第1期57-72,共16页Xinyue Cheng Zhongmin Shen Guojun Yang 
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)...
关键词: β)-metric Randers metric S-CURVATURE 
On Generalized Douglas–Weyl(α, β)-Metrics被引量:1
《Acta Mathematica Sinica,English Series》2015年第10期1611-1620,共10页Akbar TAYEBI Hassan SADEGHI 
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 ...
关键词:Generalized Douglas Weyl metric Weyl metric Douglas metric S-CURVATURE 
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