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arXiv · 2406.15332

A Smooth Intrinsic Flat Limit of with Negative Curvature

Jared Krandel·Paul Sweeney Jr
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Abstract

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.

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Jared Krandel, Paul Sweeney Jr. 2024-06-21. A Smooth Intrinsic Flat Limit of with Negative Curvature. https://arxiv.org/abs/2406.15332

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