3 papers
math.DG2025
Bounds of Scalar curvature, S-curvature and distortion on -Einstein Finsler manifolds
Bin Shen
This manuscript investigates the curvature and topological properties of certain -Einstein Finsler metrics on Finsler metric measure spaces. By imposing symmetry conditions…
math.DG2025
Gradient estimates and Harnack inequality for positive solutions to the heat equation under compact Finsler geometric flows
Bin Shen
In this manuscript, we extend the global gradient estimates for positive solutions to the heat equation under a general compact Finsler geometric flow and derive the cor…
math.DG2025
A Liouville-type theorem for Finslerian exponentially harmonic functions
Bin Shen
In this manuscript, we investigate the exponentially harmonic equation on noncompact forward complete Finsler metric measure spaces. We demonstrate that this Finslerian equation re…