Improvements of upper curvature bounds

DOI10.1090/tran/8123zbMath1453.53043arXiv1910.05287OpenAlexW3007951015MaRDI QIDQ5125059

Alexander Lytchak, Stephan Stadler

Publication date: 1 October 2020

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.05287

zbMATH Keywords

curvatureharmonic mapsconformal change

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Harmonic maps, etc. (58E20) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

Related Items (9)

The structure of minimal surfaces in \(\mathrm{CAT}(0)\) spaces ⋮ Boundary regularity and stability for spaces with Ricci bounded below ⋮ Area minimizing surfaces in homotopy classes in metric spaces ⋮ A differential perspective on gradient flows on \(\mathbf{\mathsf{CAT}} (\kappa)\)-spaces and applications ⋮ Isoperimetric inequalities and geometry of level curves of harmonic functions on smooth and singular surfaces ⋮ Old and new challenges in Hadamard spaces ⋮ Asymptotically mean value harmonic functions in subriemannian and RCD settings ⋮ Short retractions of CAT(1) spaces ⋮ Stability of metric measure spaces with integral Ricci curvature bounds

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