Ressource pédagogique : D. Tewodrose - Limits of Riemannian manifolds satisfying a uniform Kato condition
Présentation de: D. Tewodrose - Limits of Riemannian manifolds satisfying a uniform Kato condition
Informations pratiques sur cette ressource
Droits réservés à l'éditeur et aux auteurs. CC BY-NC-ND 4.0
Description de la ressource pédagogique
Description (résumé)
I will present a joint work with G. Carron and I. Mondello where we study Kato limit spaces. These are metric measure spaces obtained as Gromov-Hausdorff limits of smooth n-dimensional Riemannian manifolds with Ricci curvature satisfying a uniform Kato-type condition. In this context, strictly wider than the ones of Ricci limit spaces (where the Ricci curvature satisfies a uniform lower bound) and Lp-Ricci limit spaces (where the Ricci curvature is uniformly bounded in Lp for some p>n/2), we extend classical results of Cheeger, Colding and Naber, like the fact that under a non-collapsing assumption, every tangent cone is a metric measure cone. I will present these results and explain how we rely upon a new heat-kernel based almost monotone quantity to derive them.
"Domaine(s)" et indice(s) Dewey
- Mathématiques (510)
Thème(s)
Intervenants, édition et diffusion
Intervenants
Diffusion
Document(s) annexe(s) - D. Tewodrose - Limits of Riemannian manifolds satisfying a uniform Kato condition
- Cette ressource fait partie de
AUTEUR(S)
-
David TEWODROSE
EN SAVOIR PLUS
-
Identifiant de la fiche
63107 -
Identifiant
oai:canal-u.fr:63107 -
Schéma de la métadonnée
- LOMv1.0
- LOMFRv1.0
- Voir la fiche XML
-
Entrepôt d'origine