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arXiv · 2308.05409

Attaching faces of positive scalar curvature manifolds with corners

Alessandro Carlotto·Chao Li
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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.

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Alessandro Carlotto, Chao Li. 2023-08-10. Attaching faces of positive scalar curvature manifolds with corners. https://arxiv.org/abs/2308.05409

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