Allen, BrianHernandez-Vazquez, LisandraParise, DavidePayne, AlecWang, Shengwen2019-06-182019-06-182019-06-182019-06-0110.1007/s10711-018-0365-yhttps://infoscience.epfl.ch/handle/20.500.14299/157945WOS:000469503600011For 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.MathematicsMathematicsscalar torus rigidity theoremalmost rigiditystabilitygromov-hausdorff convergencesormani-wenger intrinsic flat convergencewarped productsuniform convergenceflat torusconvergence of riemannian manifoldsWarped tori with almost non-negative scalar curvaturetext::journal::journal article::research article