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.
Attaching faces of positive scalar curvature manifolds with corners / Carlotto, Alessandro; Li, Chao. - In: BEIJING JOURNAL OF PURE & APPLIED MATHEMATICS. - ISSN 2994-8452. - 2024, 1:2(2024), pp. 659-688. [10.4310/BPAM.2024.v1.n2.a6]
Attaching faces of positive scalar curvature manifolds with corners
Carlotto, Alessandro;
2024-01-01
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.File in questo prodotto:
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