3 papers
math.DG2026
Fenchel-Willmore-Chen inequality under lower bounds on weighted intermediate Ricci curvature
Jihye Lee, Guofang Wei
We establish a Fenchel-Willmore-Chen inequality for smooth metric measure spaces with a lower bound on the 1-Bakry-Emery k-Ricci curvature. This extends previous results and yields…
math.AP2025
Super Log-concavity of the First Eigenfunctions for Horo-convex Domains in Hyperbolic Space
Guofang Wei, Ling Xiao
In this paper, we prove that the first eigenfunction of the Laplacian for a horo-convex domain is super log-concave when is not large. Our…
math.DG2024
Log-Concavity and Fundamental Gaps on Surfaces of Positive Curvature
Gabriel Khan, Xuan Hien Nguyen, Malik Tuerkoen +1
We study the log-concavity of the first Dirichlet eigenfunction of the Laplacian for convex domains. For positively curved surfaces satisfying a condition involving the curvature a…