Speaker: Dr. Gang Li (BICMR)

Time: 13:45--14:45, 25 November

Abstract: For a fourth dimensional Conformally Compact Einstein manifold $(M^4, g)$, the renormalized volume is a global conformal invariant. Based 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.

Place: Room 77201 at #78 courtyard, Beijing International Center for Mathematical Research