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Index Estimates for Free Boundary F-Minimal Hypersurfaces

ACTA MATHEMATICA SINICA-ENGLISH SERIES(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
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