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.
基金Supported by Beijing Natural Science Foundation(Grant No.Z190003)NSFC(Grant No.12171037)the Fundamental Research Funds for the Central Universities。
文摘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.
