Weighted Ricci curvature in Riemann-Finsler geometry

Ricci curvature is one of the important geometric quantities in Riemann-Finsler geometry. Together with the $S$-curvature, one can define a weighted Ricci curvature for a pair of Finsler metric and a volume form on a manifold. One can build up a bridge from Riemannian geometry to Finsler geometry vi...

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Bibliographic Details
Main Author: Zhongmin Shen
Format: Article
Language:English
Published: Amirkabir University of Technology 2021-09-01
Series:AUT Journal of Mathematics and Computing
Subjects:
Online Access:https://ajmc.aut.ac.ir/article_4500_fc3d11fc673b4e9a44f3b4e11ecbea4e.pdf