26 citations · 177 across the 51 of their papers we have counts for
54 papers
A Sharp Diameter-Dependent Lower Bound for the First Nonzero Neumann Eigenvalue of Geodesic Triangles in Space Forms
Shoo Seto, Guofang Wei, Yusen Xia
We prove a sharp lower bound for the first nonzero Neumann eigenvalue of geodesic triangles of given diameter in two-dimensional space forms. The bound is given by the first positi…
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…
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 re…
Finite Diffeomorphism Theorem for manifolds with lower Ricci curvature and bounded energy
Wenshuai Jiang, Guofang Wei
In this paper we prove that the space $\cM(n,\rv,D,Λ):=\{(M^n,g) \text{ closed }: ~~\Ric\ge -(n-1),~\Vol(M)\ge \rv>0, \diam(M)\le D \text{ and } \int_{M}|\Rm|^{n/2}\le Λ\}$ has at…
Probabilistic Method to Fundamental gap problems on the sphere
Gunhee Cho, Guofang Wei, Guang Yang
We provide a probabilistic proof of the fundamental gap estimate for Schrödinger operators in convex domains on the sphere, which extends the probabilistic proof of F. Gong, H. Li,…
Modulus of Concavity and Fundamental Gap Estimates on Surfaces
Gabriel Khan, Malik Tuerkoen, Guofang Wei
The fundamental gap of a domain is the difference between the first two eigenvalues of the Laplace operator. In a series of recent and celebrated works, it was shown that for conve…