Hamilton's Ricci flow is a (weakly parabolic) geometric evolution equation, which deforms a given Riemannian metric in its most natural direction. Over the last decades, it has been used to prove several significant conjectures in Riemannian geometry and topology (in dimension three). In this project we focus on Ricci flow in higher dimensions, in particular on heat flow methods, new Ricci flow invariant curvature conditions and the dynamical Alekseevskii conjecture.
| Böhm, Christoph | |
| Wilking, Burkhard |
| Böhm, Christoph | |
| Wilking, Burkhard |
Duration: 01/07/2020 - 30/06/2024 | 1st Funding period Funded by: DFG - Collaborative Research Centre Type of project: Subproject in DFG-joint project hosted at University of Münster |
Duration: 01/07/2024 - 30/06/2028 | 2nd Funding period Funded by: DFG - Collaborative Research Centre Type of project: Main DFG-project hosted at University of Münster |