An Helein’s type convergence theorem for conformal immersions from S2 to manifold and it’s application.-武汉大学数学与统计学院

报告题目:

An Helein’s type convergence theorem for conformal immersions from S2 to manifold and it’s application.

报告人:

魏国栋博士（北京大学）

报告时间:

报告地点:

理学院东北楼四楼报告厅（404）

报告摘要:

The classical Helein convergence theorem established by F. Helein has played an important role in the analysis of 2-dimensional conformally invariant problems. In this talk, I will present an Helein’s type convergence theorem for conformal immersions from S² to a general compact Riemannian manifold. As an application, we extend the existence of minimizer of for immersed 2-spheres in compact 3-manifold under certain conditions due to E. Kuwert, A. Mondino and J. Schygulla (2014) to higher codimensions.