Curvature bounds on length-minimizing discs
From MaRDI portal
Publication:6204559
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
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
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Regularity of harmonic discs in spaces with quadratic isoperimetric inequality
- Area minimizing discs in metric spaces
- Existence proofs for harmonic mappings with the help of a maximum principle
- Kirszbraun's theorem and metric spaces of bounded curvature
- Isoperimetric characterization of upper curvature bounds
- Intrinsic structure of minimal discs in metric spaces
- Monotonicity of saddle maps
- Sobolev spaces and harmonic maps for metric space targets
- Space of minimal discs and its compactification
- Canonical parameterizations of metric disks
- Metric-minimizing surfaces revisited
- Metric minimizing surfaces
- The Topology of (Path) Surfaces
- Short retractions of CAT(1) spaces
- Sobolev Spaces on Metric Measure Spaces
- The curvature of minimal surfaces in singular spaces
- Triangulating metric surfaces
- Polyhedral approximation of metric surfaces and applications to uniformization
This page was built for publication: Curvature bounds on length-minimizing discs