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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.