22 citations · 40 across the 12 of their papers we have counts for
4 papers · 1 filter
Saddle Codazzi tensor on spheres and hemisphere rigidity
Jian Ge, Mijia Lai, Yuntian Zhu
Let , , be a compact connected Riemannian manifold with smooth boundary. We ask whether must be isometric to the standard hemisphere if , $\part…
Constant Rank Theorems under Intermediate Ricci Curvature
Mijia Lai, Guoqiang Wu
We prove two constant rank theorems for the Ricci tensor in two geometric settings: manifolds with harmonic curvature and gradient Ricci solitons. In both cases, if the -interme…
The sphere is the only closed surface satisfying the fixed-width Archimedean property
Mijia Lai
Among Archimedes' many celebrated discoveries is a striking fact: the region of the unit sphere between two parallel planes, both meeting the sphere and separated by a distance …
The optimal diameter estimate for positive Yamabe metrics
Kazuo Akutagawa, Mijia Lai, Chao Li +2
In this paper, we prove the optimal diameter estimate for positive Yamabe metrics on a connected, closed manifold. It is a scalar curvature version of both classical Myers' diamete…