Article ID Journal Published Year Pages File Type
5774777 Journal of Mathematical Analysis and Applications 2017 10 Pages PDF
Abstract
We discuss a two-side closed embedded f-minimal hypersurface Σ in a smooth metric measure space (Mn+1,g¯,e−fdμ) and obtain that Lf-index of Σ is bounded from below by a constant times the first Betti number with a suitable condition. We also apply the result to f-minimal hypersurfaces in shrinking gradient solitons.
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Authors
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