B02 Geometric evolution equations
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.
Project Leaders & Staff
Project Leaders Prof. Dr. Christoph Böhm Prof. Dr. Burkhard Wilking Staff Tomás Otero Casal Dr. James Llewellyn Stanfield