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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.DG2021★ 1 cited
The sharp lower bound of the first Dirichlet eigenvalue for geodesic balls
Haibin Wang, Guoyi Xu, Jie Zhou
On complete noncompact Riemannian manifolds with non-negative Ricci curvature, Li-Schoen proved the uniform Poincare inequality for any ge odesic ball. In this note, we obtain the…