103 citations · 260 across the 13 of their papers we have counts for
4 papers · 1 filter
A Curvature Gap for Minimal Submanifolds in Spheres
Fagui Li, Yuhang Zhao
Let $F:M^n\to\Sn^{n+q}(1)$ be a closed minimal immersion in the unit sphere, with , . Let be the squared length of its second fundamental form. We prove that if $…
The Rigidity Theorems for Self-Shrinkers in the Mean Curvature Flow
Fagui Li, Yuhang Zhao
In this paper, we prove a spectral upper-pinching theorem for complete properly immersed self-shrinking hypersurfaces. Our argument is inspired by the second author's recent work\c…
Gaussian-Weighted Curvature Gaps for Self-Shrinkers
Fagui Li, Yuhang Zhao
In this paper, we prove lower bounds for the Gaussian-weighted \(L^2\)-curvature integral of embedded self-shrinkers. The proof combines normal coordinate functions with weighted P…
Flat minimal tori and Lu's second-gap conjecture
Fagui Li, Yuhang Zhao
Lu conjectured that, for each dimension and codimension, there exists a positive gap above the first pinching value for the quantity on closed minimal submanifolds of the u…