Kropina metrics with isotropic scalar curvature
Liulin Liu, Xiaoling Zhang, Lili Zhao
TL;DR
This paper investigates Kropina metrics with isotropic scalar curvature, deriving formulas for Ricci curvature and scalar curvature, and characterizing such metrics through tensor analysis.
Contribution
It provides new explicit expressions for Ricci and scalar curvature of Kropina metrics and characterizes those with isotropic scalar curvature.
Findings
Derived formulas for Ricci and scalar curvature.
Characterized Kropina metrics with isotropic scalar curvature.
Enhanced understanding of curvature properties in Finsler geometry.
Abstract
In this paper, we study Kropina metrics with isotropic scalar curvature. First, we obtain the expressions of Ricci curvature tensor and scalar curvature. Then, we characterize the Kropina metrics with isotropic scalar curvature on by tensor analysis.
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Taxonomy
TopicsAdvanced Differential Geometry Research · Geometric Analysis and Curvature Flows · Geometry and complex manifolds