Yamabe-type invariants for open manifolds

Date/heure
8 décembre 2015
14:00 - 15:00

Oratrice ou orateur
Nadine Grosse

Catégorie d'évènement
Séminaire de géométrie différentielle


Résumé

In the work of Ammann, Dahl and Humbert it has turned out that the Yamabe invariant on closed manifolds is a bordism invariant below a certain threshold constant. A similar result holds for a spinorial analogon. These threshold constants are characterized through Yamabe-type equations on products of spheres with rescaled hyperbolic spaces. We give variational characterizations of these threshold constants, and our investigations lead to an explicit positive lower bound for the spinorial threshold constants. This is joint work with Bernd Ammann, arXiv:1502.05232.