Minimal surfaces in metric spaces (II)

The main goals of the project are as follows:

(1) Investigate applications of minimal discs, planes and related objects to the local and global structure of spaces with upper curvature bounds.

(2) Analyze the structure of metric surfaces using isoperimetric inequalites and uniformization theorem of metric surfaces. Derive applications to regularity and stability of surfaces in (Finsler) manifolds.

(3) Analyze limit spaces of sequences of surfaces with local uniform bounds on total curvature. Apply the results to questions concerning the Willmore energy.


    Team Members

    Dr. Stephan Stadler
    Project leader
    Ludwig-Maximilians-Universität München

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