CRC 1442 - B02: Geometric evolution equations

Basic data for this project

Type of projectSubproject in DFG-joint project hosted at University of Münster
Duration at the University of Münster01/07/2024 - 30/06/2028 | 2nd Funding period

Description

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.

KeywordsDifferential Geometry; Analysis; Mathematics
Website of the projecthttps://www.uni-muenster.de/MathematicsMuenster/de/CRC-Geometry/research/projects/b02.html
DFG-Gepris-IDhttps://gepris.dfg.de/gepris/projekt/444017888
Funding identifierSFB 1442/2, B02 | DFG project number: 427320536
Funder / funding scheme
  • DFG - Collaborative Research Centre (SFB)

Project management at the University of Münster

Böhm, Christoph
Wilking, Burkhard

Applicants from the University of Münster

Böhm, Christoph
Wilking, Burkhard

Projects of the previous funding period

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

Related main project

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