Nonexistence of DEC spin fill-ins

In this note, we show that a closed spin Riemannian manifold does not admit a spin fill-in satisfying the dominant energy condition (DEC) if a certain generalized mean curvature function is point-wise large.

Bibliographic Details
Main Author: Raulot, Simon
Format: Article
Language:English
Published: Académie des sciences 2022-09-01
Series:Comptes Rendus. Mathématique
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.366/