Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5774777 | Journal of Mathematical Analysis and Applications | 2017 | 10 Pages |
Abstract
We discuss a two-side closed embedded f-minimal hypersurface Σ in a smooth metric measure space (Mn+1,g¯,eâfdμ) 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
Peng Zhu, Wenzhen Gan,