Haohang Zhang

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20202026

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math.DG2024

Inequalities between Dirichlet and Neumann Eigenvalues on Surfaces

Bobo Hua, Florentin Münch, Haohang Zhang

For a bounded Lipschitz domain $Σ$ in a Riemannian surface $M$ satisfying certain curvature condition, we prove that $μ_{3 - β_{1}} \leq λ_{1},$ where $μ_{k}$ ( $λ_{k}$ resp.) is the $k$ -…

math.DG2023

Some variants of discrete positive mass theorems on graphs

Bobo Hua, Florentin Münch, Haohang Zhang

Inspired by asymptotically flat manifolds, we introduce the concept of asymptotically flat graphs and define the discrete ADM mass on them. We formulate the discrete positive mass…