Attaching faces of positive scalar curvature manifolds with corners

Autor: Carlotto, Alessandro, Li, Chao
Rok vydání: 2023
Předmět:
Druh dokumentu: Working Paper
Popis: We prove a novel desingularization theorem, that allows to smoothly attach two given manifolds with corners by suitably gluing a pair of isometric faces, with control on both the scalar curvature of the resulting space and the mean curvature of its boundary.
Comment: final preprint version, to appear in Beijing Journal of Pure and Applied Mathematics (invited contribution for the Bartnik memorial volume)
Databáze: arXiv