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Abstract We discuss a two-side closed embedded f-minimal hypersurface Σ in a smooth metric measure space ( M n + 1 , g ¯ , e − f d μ… Click to show full abstract
Abstract We discuss a two-side closed embedded f-minimal hypersurface Σ in a smooth metric measure space ( M n + 1 , g ¯ , e − f d μ ) and obtain that L f -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.
Keywords:
minimal hypersurfaces;
index;
index bounds;
bounds closed;
closed minimal
Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2017
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Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2017
Link to full text (if available)
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recommendations!