## Warped tori with almost non-negative scalar curvature

For sequences of warped product metrics on a 3-torus satisfying the scalar curvature bound Rj = -1j, 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.

Published in:
Geometriae Dedicata, 200, 1, 153-171
Year:
Jun 01 2019
Publisher:
Dordrecht, SPRINGER
ISSN:
0046-5755
1572-9168
Keywords:
Laboratories: