The structure of minimal surfaces in \(\mathrm{CAT}(0)\) spaces
From MaRDI portal
Publication:824405
DOI10.4171/JEMS/1075zbMath1484.53102arXiv1808.06410MaRDI QIDQ824405
Publication date: 15 December 2021
Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1808.06410
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global Riemannian geometry, including pinching (53C20) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)
Related Items
Morse quasiflats. I ⋮ Rigidity of the Pu inequality and quadratic isoperimetric constants of normed spaces ⋮ CAT(0) polygonal complexes are 2-median ⋮ Six Proofs of the Fáry–Milnor Theorem ⋮ Ricci curvature in dimension 2 ⋮ The Plateau-Douglas problem for singular configurations and in general metric spaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Area minimizing discs in metric spaces
- Equilibrium maps between metric spaces
- Rigidity of quasi-isometries for symmetric spaces and Euclidean buildings
- Embedded minimal surfaces and total curvature of curves in a manifold
- Rectifiable sets in metric and Banach spaces
- Embeddedness of minimal surfaces with total boundary curvature at most \(4\pi\)
- Isoperimetric characterization of upper curvature bounds
- Intrinsic structure of minimal discs in metric spaces
- Geodesically complete spaces with an upper curvature bound
- Monotonicity of saddle maps
- Harmonic maps into singular spaces and \(p\)-adic superrigidity for lattices in groups of rank one
- A volume convergence theorem for Alexandrov spaces with curvature bounded above
- Sobolev spaces and harmonic maps for metric space targets
- Harmonic maps between flat surfaces with conical singularities
- Monotonicity properties of harmonic maps into NPC spaces
- Area minimizing discs in locally non-compact metric spaces
- Canonical parameterizations of metric disks
- Dehn functions and Hölder extensions in asymptotic cones
- Metric-minimizing surfaces revisited
- Hadamard spaces with isolated flats. (With an appendix written jointly with Mohamad Hindawi).
- Spaces with almost Euclidean Dehn function
- On the total curvature of knots
- Semiconcave functions in Alexandrov's geometry
- The planar Schönflies theorem for Lipschitz maps
- The Fary-Milnor theorem in Hadamard manifolds
- Metric minimizing surfaces
- Rectifiable Metric Spaces: Local Structure and Regularity of the Hausdorff Measure
- The Dirichlet problem for harmonic maps from Riemannian polyhedra to spaces of upper bounded curvature
- Improvements of upper curvature bounds
- Sobolev Spaces on Metric Measure Spaces
- Structure of level sets and Sard-type properties of Lipschitz maps
- Sur la courbure totale d'une courbe gauche faisant un nœud
- Currents in metric spaces
- The curvature of minimal surfaces in singular spaces
