We show that for a noncollapsing sequence of closed, connected, oriented Riemannian manifolds with Ricci curvature bounded below and diameter bounded above, Gromov-Hausdorff convergence agrees with intrinsic flat convergence. In particular, the limiting current is essentially unique, has multiplicity one, and mass equal to the Hausdorff measure. Moreover, the limit spaces satisfy a constancy theorem.
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| http://www.ncbi.nlm.nih.gov/pmc/articles/PMC6294178 | PMC |
| http://dx.doi.org/10.1007/s12220-016-9742-7 | DOI Listing |
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