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math.DG2022
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…
math.DG2021
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…