(Geometric Flows and Geometric Operators) GFO in Pisa
timetable:
Fri 3 Jul, 9:00 - 10:00, Aula Dini
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Ricci flow coupled with harmonic map heat flow
speaker: Reto Mueller (Scuola Normale Superiore, Pisa)abstract: We study a coupled system of Ricci flow and harmonic map flow which arises as the gradient flow of a modification of Perelman's F-functional, including a Dirichlet type term for a map into a fixed target manifold. Surprisingly, in many situations, the coupled flow behaves much less singular than the Ricci flow or the standard harmonic map flow alone. In particular, we can always rule out energy concentration of the evolving map without any assumptions on the curvature of the target manifold if we choose a certain "coupling parameter" large enough.
timetable:
Fri 3 Jul, 9:00 - 10:00, Aula Dini
<< Go back