Navigation Finsler metrics on a gradient Ricci soliton

作     者：LI Ying MO Xiao-huan WANG Xiao-yang LI Ying;MO Xiao-huan;WANG Xiao-yang

作者机构：Department of Applied MathematicsZhejiang University of TechnologyHangzhou 310023China Key Laboratory of Pure and Applied MathematicsSchool of Mathematical SciencesPeking UniversityBeijing 100871China School of Mathematics and StatisticsBeijing Institute of TechnologyBeijing 100081China 

出 版 物：《Applied Mathematics(A Journal of Chinese Universities)》 (高校应用数学学报（英文版）（B辑）)

年 卷 期：2024年第39卷第2期

页      面：266-275页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：Supported by the National Natural Science Foundation of China(11771020 12171005) 

主　　题：gradient Ricci soliton navigation Finsler metric isotropic S-curvature Ricci curvature Gaussian shrinking soliton 

摘      要：In this paper,we study a class of Finsler metrics defined by a vector field on a gradient Ricci *** obtain a necessary and sufficient condition for these Finsler metrics on a compact gradient Ricci soliton to be of isotropic S-curvature by establishing a new integral *** we determine the Ricci curvature of navigation Finsler metrics of isotropic S-curvature on a gradient Ricci soliton generalizing result only known in the case when such soliton is of Einstein *** its application,we obtain the Ricci curvature of all navigation Finsler metrics of isotropic S-curvature on Gaussian shrinking soliton.