Positive scalar curvature on manifolds with boundary and their doubles
In: Pure Appl. Math. Q. 19 (2023), no. 6, 2919-2950; (2022)
Online
report
This paper is about positive scalar curvature on a compact manifold $X$ with non-empty boundary $\partial X$. In some cases, we completely answer the question of when $X$ has a positive scalar curvature metric which is a product metric near $\partial X$, or when $X$ has a positive scalar curvature metric with positive mean curvature on the boundary, and more generally, we study the relationship between boundary conditions on $\partial X$ for positive scalar curvature metrics on $X$ and the positive scalar curvature problem for the double $M=\operatorname{Dbl}(X,\partial X)$.
Comment: 26 pages, 9 figures. A number of small errors corrected and two new references added
Titel: |
Positive scalar curvature on manifolds with boundary and their doubles
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Autor/in / Beteiligte Person: | Rosenberg, Jonathan ; Weinberger, Shmuel |
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Quelle: | Pure Appl. Math. Q. 19 (2023), no. 6, 2919-2950; (2022) |
Veröffentlichung: | 2022 |
Medientyp: | report |
DOI: | 10.4310/PAMQ.2023.v19.n6.a12 |
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