5 citations · 8 across the 6 of their papers we have counts for
4 papers · 1 filter
Index of minimal hypersurfaces in real projective spaces
Shuli Chen
We prove that for an embedded unstable one-sided minimal hypersurface of the -dimensional real projective space, the Morse index is at least , and this bound is attaine…
A Generalization of the Geroch Conjecture with Arbitrary Ends
Shuli Chen
Using -bubbles, we prove that for , the connected sum of a Schoen-Yau-Schick -manifold with an arbitrary manifold does not admit a complete metric of positive…
Stable submanifolds in the product of projective spaces II
Shuli Chen, Alejandra Ramirez-Luna
We prove that there do not exist odd-dimensional stable compact minimal immersions in the product of two complex projective spaces. We also prove that the only stable compact minim…
On the index of minimal surfaces with free boundary in a half-space
Shuli Chen
We study the Morse index of minimal surfaces with free boundary in a half-space. We improve previous estimates relating the Neumann index to the Dirichlet index and use this to ans…