Yifeng Meng

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20222026

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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.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.…