Yifeng Meng

activity

20222026

collaborators

3 papers

math.DG2026

Coupled reciprocal-sum inequalities for Neumann eigenvalues in rank-one symmetric spaces

Yifeng Meng

Let $M$ be a rank-one symmetric space of compact or noncompact type and real dimension $m = k n$ , where $k \in {1, 2, 4, 8}$ is the real dimension of the underlying division algebra. Men…

math.AP2025

The Robin heat kernel and its expansion via Robin eigenfunctions

Yifeng Meng, Kui Wang

We prove the existence and uniqueness of the Robin heat kernel on compact Riemannian manifolds with smooth boundary for Robin parameter $α \in R$ , expressed as a spectral ex…

math.DG2022

Isoperimetric inequalities for Neumann eigenvalues on bounded domains in rank-1 symmetric spaces

Yifeng Meng, Kui Wang

In this paper, we prove sharp isoperimetric inequalities for lower order eigenvalues of Neumann Laplacian on bounded domains in both compact and noncompact rank-1 symmetric spaces.…