Some conformal invariants on conformally compact Einstein manifolds
主 题: Some conformal invariants on conformally compact Einstein manifolds
报告人: Dr. Gang Li (BICMR)
时 间: 2014-11-25 13:45-14:45
地 点: Room 77201 at #78 courtyard, Beijing International Center for Mathematical Research（博士后讨论班）
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.
