Mijia Lai

activity

20162019

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

3 citations · 3 across the 1 of their papers we have counts for

collaborators

4 papers

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…