(Geometric Flows and Geometric Operators) GFO in Pisa
timetable:
Mon 29 Jun, 15:15 - 16:00, Aula Dini
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Mean curvature flow of submanifolds of high codimension
speaker: Charles Baker ( Mathematical Sciences Institute, Australian National University)abstract: We present results from the speaker's doctoral thesis concerning the mean curvature flow of submanifolds of arbitrary codimension of both Euclidean and spherical backgrounds. In particular, we show that under a certain pinching condition the submanifolds flow to round points in finite time. These results may be considered as high codimension analogues of the corresponding hypersurface theorems of Huisken. Also new is the special connection used on the spacetime product manifold that builds in the Uhlenbeck trick, which simplifies the derivation of evolution equations of geometric quantities.
timetable:
Mon 29 Jun, 15:15 - 16:00, Aula Dini
<< Go back