Mijia Lai

activity

20162023

most citedEscobar-Yamabe compactifications for Poincare-Einstein manifolds and rigidity theorems

3 citations · 3 across the 2 of their papers we have counts for

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math.DG2023

Rigidity of Schouten Tensor under Conformal Deformation

Mijia Lai, Guoqiang Wu

We obtain some rigidity results for metrics whose Schouten tensor is bounded from below after conformal transformations. Liang Cheng recently proved that a complete, nonflat, local…

math.DG2019

A note on Hang-Wang's hemisphere rigidity theorem

Mijia Lai

Let $(M, g)$ be a compact manifold with boundary and $R i c_{g} \geq (n - 1) g$ , Hang and Wang proved that $(M, g)$ is isometric to the standard hemisphere if $\partial M$ is convex and isom…

math.DG2019

The Obata equation with Robin boundary condition

Xuezhang Chen, Mijia Lai, Fang Wang

We study the Obata equation with Robin boundary condition $\frac{\partial f}{\partial ν} + a f = 0$ on manifolds with boundary, where $a \in R ∖ {0}$ . Dirichlet and Neu…

math.DG2017★ 3 cited

Escobar-Yamabe compactifications for Poincare-Einstein manifolds and rigidity theorems

Xuezhang Chen, Mijia Lai, Fang Wang

Let $(X^{n}, g_{+})$ $(n \geq 3)$ be a Poincaré-Einstein manifold which is $C^{3, α}$ conformally compact with conformal infinity $(\partial X, [g^])$ . On the conformal compactifi…

math.DG2016

Volume bounds of conic 2-spheres

Hao Fang, Mijia Lai

We obtain sharp volume bound for a conic 2-sphere in terms of its Gaussian curvature bound. We also give the geometric models realizing the extremal volume. In particular, when the…