Lihan Wang

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20142026

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math.DG2022

Rigidity of complete manifolds with weighted Poincaré inequality

Lihan Wang

We consider complete Riemannian manifolds which satisfy a weighted Poincarè inequality and have the Ricci curvature bounded below in terms of the weight function. When the weight f…

math.DG2022

Generic properties of Steklov eigenfunctions

Lihan Wang

Let $M^{n}$ be a smooth compact manifolds with smooth boundary. We show that for a generic $C^{k}$ metic on $M^{n} ˉ$ with $k > n - 1$ , the nonzero Steklov eigenvalues are simple. Moreov…

math.DG2019

Gradient estimate for harmonic functions on Kähler manifolds

Ovidiu Munteanu, Lihan Wang

We prove a sharp integral gradient estimate for harmonic functions on noncompact Kähler manifolds. As application, we obtain a sharp estimate for the bottom of spectrum of the p-La…