The Gauss-Bonnet-Chern Formula for Riemannian manifolds with conical singularities or conical ends

General public Colloquium / Congress / Forum

In this talk I will introduce the notion of conical end and (fibered) conic singularity for a Riemannian manifold and I will present
a Gauss-Bonnet formula in this context.
The deviation from the classical formula (proved in the 1940s by Allendoerfer, Weil and Chern) is a contribution for each end and each conical singularity of a term which is expressed as a sum of Lipschitz-Killing curvatures.

When? 25.04.2023 17:15
Where? PER 08 auditoire 2.52
Chemin du Musée 3
1700 Fribourg
speaker Prof. Marc Troyanov, EPFL
Contact Département de mathématiques