Ressource pédagogique : M. Lesourd - Positive Scalar Curvature on Noncompact Manifolds and the Positive Mass Theorem
Présentation de: M. Lesourd - Positive Scalar Curvature on Noncompact Manifolds and the Positive Mass Theorem
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)
The study of positive scalar curvature on noncompact manifolds has seen significant progress in the last few years. A major role has been played by Gromov's results and conjectures, and in particular the idea to use surfaces of prescribed mean curvature (as opposed to minimal surfaces). Having the classic positive mass theorem of Schoen-Yau in mind, we describe a new positive mass theorem for manifolds that allows for possibly non asymptotically flat ends, points of incompleteness, and regions negative scalar curvature. The proof is based on surfaces with prescribed mean curvature, and gives an alternative proof of the Liouville theorem conjectured by Schoen-Yau, which was recently proved by Chodosh-Li. This is joint with R.Unger and S-T. Yau.
"Domaine(s)" et indice(s) Dewey
- Mathématiques (510)
Thème(s)
Intervenants, édition et diffusion
Intervenants
Diffusion
Document(s) annexe(s) - M. Lesourd - Positive Scalar Curvature on Noncompact Manifolds and the Positive Mass Theorem
- Cette ressource fait partie de
AUTEUR(S)
-
Martin LESOURD
EN SAVOIR PLUS
-
Identifiant de la fiche
63101 -
Identifiant
oai:canal-u.fr:63101 -
Schéma de la métadonnée
- LOMv1.0
- LOMFRv1.0
- Voir la fiche XML
-
Entrepôt d'origine