An intrinsic flat limit of Riemannian manifolds with no geodesics

DOI10.1007/S10711-019-00453-1zbMath1432.53059arXiv1810.12378OpenAlexW2964190052MaRDI QIDQ2290855

João Carlos Basilio, Demetre Kazaras, Christina Sormani

Publication date: 29 January 2020

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.12378

zbMATH Keywords

Gromov-Hausdorff limitgeodesic spacerestricted Euclidean distance

Mathematics Subject Classification ID

Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

Related Items (2)

An extreme limit with nonnegative scalar curvature ⋮ Sequences of three dimensional manifolds with positive scalar curvature

Cites Work

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• Dirac and Plateau billiards in domains with corners
• Intrinsic flat stability of the positive mass theorem for graphical hypersurfaces of Euclidean space
• Gromov–Lawson Tunnels with Estimates
• Scalar Curvature and Intrinsic Flat Convergence
• Currents in metric spaces

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