题目:A gap theorem and curvature estimates for conformally compact Einstein manifolds

报告人：李刚（北京国际数学中心）

时间：2015年4月24日（周五）下午 2：00―3：30

地点：管理楼 1318

摘要: For a fourth dimensional Conformally Compact Einstein manifold (M,g), the renormalized volume is a global conformal invariant. Based on assumption on the renormalized volume, we obatin a gap theorem and curvature estimates on (M, g). We also obtain a curvature pinching theorem on Conformally Compact Einstein manifold (M^n, g) with n/geq 4, provided that the Yamabe constant of the conformal infinity is large.
This is a joint work with Professor Jie Qing and Professor Yuguang Shi.

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