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- W2899403445 abstract "In this paper we produce a sequence of Riemannian manifolds $M_j^m$, $m ge 2$, which converge in the intrinsic flat sense to the unit $m$-sphere with the restricted Euclidean distance. This limit space has no geodesics achieving the distances between points, exhibiting previously unknown behavior of intrinsic flat limits. In contrast, any compact Gromov-Hausdorff limit of a sequence of Riemannian manifolds is a geodesic space. Moreover, if $mgeq3$, the manifolds $M_j^m$ may be chosen to have positive scalar curvature." @default.
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- W2899403445 date "2018-10-29" @default.
- W2899403445 modified "2023-09-26" @default.
- W2899403445 title "An intrinsic flat limit of Riemannian manifolds with no geodesics" @default.
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