理学院“格物论坛”学术报告（六十一）
报告题目: Degeneration of Riemannian manifolds with bounded
Bakry-Emery Ricci curvature
报 告 人： 华东师范大学
朱萌 教授
时 间： 2018年12月5日下午15:30-16:30
地 点： 理生楼A502
摘要:
We study the regularity of the Gromov-Hausdorff limits of Riemannian manifolds with bounded Bakry-Emery Ricci curvature, which include the Ricci soliton and bounded Ricci curvature cases. Our main results are the generalizations of the works of Cheeger-Colding-Tian-Naber when the manifolds are volume noncollapsed. The new ingredients here are a Bishop-Gromov type relative volume comparison theorem on the original manifold without involving weight, and proving that the C^{/alpha} harmonic radius can be bounded from below, which has weakened Anderson's result. Our proof of the Codimension 4 Theorem essentially follows the guideline of Cheeger-Naber, but we managed to shorten the proof by using Green's function and a linear algebra argument of R. Bamler. These are joint works with Qi S. Zhang.
报告人简介：
朱萌，华东师范大学数学系教授，紫江青年学者。
研究领域为微分几何与几何分析，特别是与曲率流相关的问题。已取得了一些重要成果，其成果在著名国际期刊上发表，如 Math. Ann., Trans. Amer. Math. Soc. , J. Funct. Anal.，J. Math. Pures Appl.等。
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南昌大学科学技术处
南昌大学理学院数学系
2018年12月
