1 citations · 1 across the 5 of their papers we have counts for
Showing math.DGShow all
3 papers · 1 filter
math.DG2026
Eigenvalues on spheres
Shengjie Lin, Haibin Wang, Guoyi Xu
For every smooth Riemannian metric on the two sphere whose Gaussian curvature is bounded below by one, we prove that each positive Laplace eigenvalue, counted with multiplicity, is…
math.DG2024
The first Dirichlet eigenvalue and the width
Guoyi Xu
For a geodesic ball with non-negative Ricci curvature and mean convex boundary, it is known that the first Dirichlet eigenvalue of this geodesic ball has a sharp lower bound in ter…
math.DG2024
The rigidity of eigenfunctions' gradient estimates
Guoyi Xu, Xiaolong Xue
On compact Riemannian manifolds with non-negative Ricci curvature and smooth (possibly empty), convex (or mean convex) boundary, if the sharp Li-Yau type gradient estimate of an Ne…