Curvature bounds on length-minimizing discs

DOI10.1007/s10711-024-00892-5arXiv2308.14684OpenAlexW4392516409MaRDI QIDQ6204559

Sophia Wagner, Alexander Lytchak

Publication date: 28 March 2024

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

Full work available at URL: https://arxiv.org/abs/2308.14684

zbMATH Keywords

ruled surfacesAlexandrov geometryharmonic surfaces

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Differential geometric aspects of harmonic maps (53C43) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Cites Work

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• Triangulating metric surfaces
• Polyhedral approximation of metric surfaces and applications to uniformization

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