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NCTS Differential Geometry Seminar
 
16:00 - 17:00, October 17, 2019 (Thursday)
R440, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 440室)
Regularity of and Geometric Analysis on Varifolds with Mean Curvature
Ulrich Menne (National Taiwan Normal University)

Abstract:

Geometric variational problems involving mean curvature (e.g., area-stationary surfaces, mean curvature flow, and Willmore surfaces) give rise to the study of measure-theoretic surfaces (varifolds). We survey results on their regularity and on the infrastructure for geometric analysis thereon. The first item includes the existence of an approximate second fundamental form, whereas the second covers weakly differentiable (and Sobolev) functions, geodesic distance, and curvatures in the spirit of convex geometry.


 

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