A Smooth Intrinsic Flat Limit of with Negative Curvature
Differential Geometry
2024-09-10 v4 Metric Geometry
Abstract
In 2014, Gromov asked if nonnegative scalar curvature is preserved under intrinsic flat convergence. Here we construct a sequence of closed oriented Riemannian -manifolds, , with positive scalar curvature such that their intrinsic flat limit is a Riemannian manifold with negative scalar curvature.
Keywords
Cite
@article{arxiv.2406.15332,
title = {A Smooth Intrinsic Flat Limit of with Negative Curvature},
author = {Jared Krandel and Paul Sweeney},
journal= {arXiv preprint arXiv:2406.15332},
year = {2024}
}
Comments
v4: minor revisions