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An Helein's type convergence theorem for conformal immersions from S^2 to manifold and it's application

发布时间：2019-03-14 作者：浏览次数：

Speaker:	魏国栋	DateTime:	2019年03月18日（周一）上午11:10-11:55
Brief Introduction to Speaker: 魏国栋，北京大学博士后。		Place:	六号楼二楼报告厅
Abstract: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 S^2 to a general compact Riemannian manifold. As an application, we extend the existence of minimizer of $\int \|A\|^2 d\mu$ for immersed 2-spheres in compact 3-manifold under certain conditions due to E. Kuwert, A. Mondino and J. Schygulla (2014) to higher codimensions.