Bounds on harmonic radius and limits of manifolds with bounded Bakry-\'Emery Ricci curvature
 发布时间： 2017-06-19     13:34   【返回上一页】 发布人：张旗

北京师范大学数学科学学院

(UC Riverside 复旦大学)

Based on this lower bound and the techniques in Cheeger and Naber and F. Wang and X.H. Zhu, we extend Cheeger-Naber's Codimension 4 Theorem  to the case where the manifolds have  bounded Bakry-/'Emery Ricci curvature when the gradient of the  potential is bounded.  This result covers Ricci solitons when the gradient of the potential is bounded. Some short cuts and additional information in the original case are  also obtained.

This is joint work with Zhu Meng.