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arXiv · 1804.04581

Warped Tori with Almost Non-Negative Scalar Curvature

Brian Allen·Lisandra Hernandez-Vazquez·Davide Parise·Alec Payne·Shengwen Wang
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Abstract

For sequences of warped product metrics on a $3$-torus satisfying the scalar curvature bound $R_j \geq -\frac{1}{j}$, uniform upper volume and diameter bounds, and a uniform lower area bound on the smallest minimal surface, we find a subsequence which converges in both the Gromov-Hausdorff and the Sormani-Wenger Intrinsic Flat sense to a flat $3$-torus.

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Brian Allen, Lisandra Hernandez-Vazquez, Davide Parise, Alec Payne, Shengwen Wang. 2018-04-12. Warped Tori with Almost Non-Negative Scalar Curvature. https://doi.org/10.1007/s10711-018-0365-y

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