2009 DG-MP-PDE Seminar - 01

  • Date: 02/12/2009
Felix Schulze (Freie Universitat Berlin)

University of British Columbia


Stability of non-compact manifolds under curvature flows


In this talk we present two stability results. Firstly we present a
stability result for graphical, rotationally symmetric, translating
solutions to mean curvature flow. There we obtain that for initial data
that converge spatially at infinity to such a soliton, the flow
converges for large times to that soliton, without imposing any decay
rates. Secondly we discuss Ricci flow of initial metrics which are
asymptotically Euclidean. For small perturbations of the metric of
Euclidean space, we show that the Ricci harmonic map heat flow
converges to Euclidean space for large times. We also investigate the
convergence of the diffeomorphisms relating Ricci harmonic map heat
flow to Ricci flow. The first result is joint work with J. Clutterbuck
and O.C. Schnuerer, the second result is joint work with M. Simon and
O.C. Schnuerer.


3:30pm, WMAX 110