Prof. Dr. Klaus Ecker (FU Berlin)
Singularity analysis for constrained curve flows I
Singularity analysis for constrained curve flows II
Pinched ancient solutions of higher-codimension mean curvature flow
Singularity analysis for constrained curve flows III
Embeddedness of compact surfaces with boundary in manifolds with negative curvature
Ends of Immersed Minimal and Willmore Surfaces in Asymptotically Flat Spaces
Abstract: We study ends of immersed Willmore surfaces, which are critical points of the integral of the square of the mean curvature, in asymptotically flat spaces of any dimension. We give the precise asymptotic behavior of an end of such a surface with finite total curvature (i.e. with finite Willmore energy). Our results apply in particular to immersed minimal surfaces in spaces of any dimension that are asymptotically flat, and give new results about minimal surfaces in asymptotically flat space. Joint-work with Tristan Rivière.