Speaker : Professor Jeremy Wong (National Taiwan University)
Title : Diameter and integral curvature of hypersurfaces in Euclidean space
Time : 2011-12-15 (Thu) 15:00 - 16:00
Place : Auditorium, 6 Floor, Institute of Mathematics (NTU Campus)
Abstract: We will discuss bounds for the diameter of a closed hypersurface in Euclidean space by integral mean curvatures. There is an anisotropic scaling technique which applies to several classes, recovering sharp constants. Also, a reduction procedure leads to a result about local non-approximation of smooth hypersurfaces by mildly singular ones.