Title: Lf -index bounds for closed f-minimal hypersurfaces

Abstract: In this report, we discuss a two-side closed embedded f-minimal hypersurface in a smooth metric measure space and obtain that Lf -index of this hypersurface is bounded from below by a constant times the first Betti number with a suitable condition. We apply the result to f-minimal hypersurfaces in shrinking gradient solitons.

报 告 人： 朱鹏 教授 江苏理工学院数学系

报告时间：2018年01月31日（星期三）下午15：00

报告地点：数学科学学院38号楼报告厅

主办单位：数学科学学院

欢迎广大师生参加！