國立清華大學 數學系

Abstract. Curvature estimate has always been an essential and difficult problem in the study of geometric evolution equations. K. Ecker and G. Huisken have derived a priori estimate for the curvature (second fundamental forms) when they study the mean curvature flow of the graph of a function in Euclidean space. In this talk, I will explain that a similar curvature estimate also exists for higher codimensional mean curvature flow under certain natural conditions. This is joint work with Knut Smoczyk and Mu-Tao Wang. Tea Time: 3:30PM, R707