2 problems
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Gromov's intrinsic-flat stability conjecture for scalar torus rigidity
Let a sequence of Riemannian manifolds be homeomorphic to a torus and have nonnegative scalar curvature, and suppose it converges in the intrinsic flat sense to a Riemannian manifo…
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Almost rigidity of the Scalar Torus Theorem
Almost-rigidity conjecture. A subsequence should converge intrinsically flatly to a flat torus: