Index Estimates for Free Boundary f -minimal Hypersurfaces

Niang Chen,Jian Quan Ge, Miao Miao Zhang

arxiv(2023)

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摘要
We prove that the index is bounded from below by a linear function of its first Betti number for any compact free boundary f -minimal hypersurface in certain positively curved weighted manifolds.
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关键词
Index,f-minimal hypersurfaces,free boundary,the first Betti number,53C42,53C21
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