Veranstaltung

Vortrag
Ricci flow on a class of warped product manifolds
1.12.2014, 14:30 Uhr – 15:30 Uhr

Ricci flow is an evolution equation for Riemannian metrics, which has become famous through the solution of the Poincare conjecture by Perelman.
To get a better understanding of Ricci flow, we analyse its behaviour on certain noncompact warped product manifolds. Knowing that in our case the warped product structure is preserved under the flow, we show longtime existence of the solution and that it is of type III, i. e. we have the curvature estimate |Rm| \leq C/t for some C > 0 and all t > 0. The proof consists of applying a generalized maximum principle on noncompact manifolds to appropriately chosen geometric quantities.

Homepage Dr. Tobias Marxen: http://www.differentialgeometrie.uni-hannover.de/56.html?&no_cache=1&L=1&tx_tkt3hislsf_pi2[perid]=45319

Verknüpft mit:

• Tobias Marxen
• [C8] Mathematical Physics: Dynamics and Nonlinear Evolution Equations in General Relativity