Q. Cheng

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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…

math.DG2024

Complete minimal hypersurfaces in a hyperbolic space $H^{4} (- 1)$

Qing-Ming Cheng, Yejuan Peng

In this paper, we study $n$ -dimensional complete minimal hypersurfaces in a hyperbolic space $H^{n + 1} (- 1)$ of constant curvature $- 1$ . We prove that a $3$ -dimensional complete mini…

Estimates for Eigenvalues of the Dirichlet Laplacian on Riemannian Manifolds

Complete minimal hypersurfaces in a hyperbolic space H4(−1)

Complete minimal hypersurfaces in a hyperbolic space $H^{4} (- 1)$