2 citations · 2 across the 7 of their papers we have counts for
7 papers
Radial pinching and topological rigidity for free boundary Gaussian -minimal submanifolds
Niang Chen
Let be a smooth compact connected orientable free boundary -minimal submanifold of the closed Euclidean ball, where and $c\ge 0…
Cohomology Vanishing for Free Boundary -Minimal Submanifolds in Gaussian-Weighted Euclidean Balls
Niang Chen
Let $M^n\subset \overline{\B_R^{n+k}}\subset \R^{n+k}$ be a compact orientable free boundary -minimal submanifold of the Gaussian-weighted Euclidean ball $\left(\overline{\B_R^{…
ACS Condition on Minimal Isoparametric Hypersurfaces of Positive Ricci Curvature in Unit Spheres
Niang Chen
We study the Ambrozio--Carlotto--Sharp (ACS) criterion on minimal isoparametric hypersurfaces with positive Ricci curvature, motivated by the Schoen--Marqu…
Rigidity and Gap Phenomena in the Sphere--Ball Correspondence
Niang Chen
This survey reviews a collection of parallel phenomena between free boundary submanifolds in the Euclidean unit ball and closed submanifolds in the sphere, with particular emphasis…
Index estimates for free boundary -minimal hypersurfaces
Niang Chen, Jianquan Ge, Miaomiao Zhang
We prove that the index is bounded from below by a linear function of its first Betti number for any compact free boundary -minimal hypersurface in certain positively curved wei…
An isoperimetric inequality of minimal hypersurfaces in spheres
Fagui Li, Niang Chen
Let be a closed immersed minimal hypersurface in the unit sphere . We establish a special isoperimetric inequality of . As an application, if the scal…
Cohomology vanishing theorems for free boundary submanifolds
Niang Chen, Jianquan Ge
In this paper, via a new Hardy type inequality, we establish some cohomology vanishing theorems for free boundary compact submanifolds with immersed in the Euclidean…