Attaching faces of positive scalar curvature manifolds with corners
Differential Geometry
2024-02-20 v2
Abstract
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.
Cite
@article{arxiv.2308.05409,
title = {Attaching faces of positive scalar curvature manifolds with corners},
author = {Alessandro Carlotto and Chao Li},
journal= {arXiv preprint arXiv:2308.05409},
year = {2024}
}
Comments
final preprint version, to appear in Beijing Journal of Pure and Applied Mathematics (invited contribution for the Bartnik memorial volume)