Project Details
Projekt
Stability of non-compact manifolds under curvature flows
Subject Area
Mathematics
Term
from 2007 to 2010
Project identifier
Deutsche Forschungsgemeinschaft (DFG) - Project number 42840189
In this project, we study the evolution of non-compact manifolds under geometric flows like mean curvature flow or Ricci flow. We are particularly interested in the long-time behavior of solutions which are initially close to a soliton at spatial infinity. We want to study, whether these solutions converge for large times to that soliton. One of the motivations for this project is that we want to understand the long-time dynamical behavior of these flows near eternal solutions. We expect that our investigations will involve methods based on barrier techniques and on considering entropies in integral form.
DFG Programme
Priority Programmes
Subproject of
SPP 1154:
Global Differential Geometry
