Daguang Chen

collaborators

2 papers

math.DG2026

Sharp shifted reciprocal sums of Neumann eigenvalues on space forms

Daguang Chen, Chengxi Yang

Let $M_{κ}^{n}$ be the space form of sectional curvature $κ \in {- 1, 0, 1}$ , so that $\mathbb{M}_{-1}^n=\mathbb{H}^n, \mathbb{M}_{0}^n=\mathbb{R}^n, \mathbb{M}_{1}^n=\mathbb{S}^…

math.DG2025

Estimates for Eigenvalues of the Dirichlet Laplacian on Riemannian Manifolds

Daguang Chen, Qing-Ming Cheng

We revisit the eigenvalue problem of the Dirichlet Laplacian on bounded domains in complete Riemannian manifolds. By building on classical results like Li-Yau's and Yang's inequali…