Oberseminar Partielle Differentialgleichungen: Inverse mean curvature flow in complex hyperbolic space
Wann
Donnerstag, 1. Juni 2017
15:15 bis 16:45 Uhr
Wo
F 426
Veranstaltet von
Vortragende Person/Vortragende Personen:
Dr. Giuseppe Pipoli (Universite Grenoble Alpes)
Diese Veranstaltung ist Teil der Veranstaltungsreihe „Oberseminar Partielle Differentialgleichungen“.
Abstract: We consider the evolution by inverse mean curvature flow of a closed, mean convex and star-shaped hypersurface in the complex hyperbolic space. We prove that the flow is de ned for any positive time, the evolving hypersurface stays star-shaped and mean convex. Moreover the induced metric converges, after rescaling, to a conformal multiple of the standard sub- Riemannian metric on the sphere. Finally we show that there exists a family of examples such that the Webster curvature of this sub-Riemannian limit is not constant.