A Smooth Intrinsic Flat Limit of with Negative Curvature

In 2014, Gromov asked if nonnegative scalar curvature is preserved under intrinsic flat convergence. Here we construct a sequence of closed oriented Riemannian \(n\)-manifolds, \(n\geq 3\), with positive scalar curvature such that their intrinsic flat limit is a Riemannian manifold with negative sca...

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Bibliographic Details
Published in:arXiv.org 2024-09
Main Authors: Krandel, Jared, Sweeney, Paul
Format: Article
Language:English
Subjects:
Curvature
Manifolds
Online Access:Get full text
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Summary:In 2014, Gromov asked if nonnegative scalar curvature is preserved under intrinsic flat convergence. Here we construct a sequence of closed oriented Riemannian \(n\)-manifolds, \(n\geq 3\), with positive scalar curvature such that their intrinsic flat limit is a Riemannian manifold with negative scalar curvature.
ISSN:2331-8422