报告题目：On the partial uniform ellipticity and complete conformal metrics with prescribed curvature functions on manifolds with boundary

报告人：袁日荣 教授 （华南理工大学）

报告摘要：

In this talk, we will consider the problem of finding complete conformal metrics with prescribed curvature functions of Einstein tensor and more general modified Schouten tensors on manifolds with boundary. The asymptotic behavior of complete conformal metrics near boundary is also formulated. Our method is based on partial uniform ellipticity. Interestingly, a topological obstruction shows that the strategy and assumptions imposed there are rather appropriate and delicate. Finally, we further discuss Hessian and Weingarten equations by confirming a key assumption.

报告时间：2020年12月2日9：30-11：00

报告地点：中科大东区管研楼1418