Riemannian polyhedra and Liouville-type theorems for harmonic maps
From MaRDI portal
Publication:483950
DOI10.2478/agms-2014-0012zbMath1309.53056arXiv1209.5889OpenAlexW1968675389WikidataQ115228196 ScholiaQ115228196MaRDI QIDQ483950
Publication date: 17 December 2014
Published in: Analysis and Geometry in Metric Spaces (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1209.5889
Differential geometric aspects of harmonic maps (53C43) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45) Potential theory on fractals and metric spaces (31E05)
Related Items (2)
Liouville theorems for \(f\)-harmonic maps into Hadamard spaces ⋮ Quantitative gradient estimates for harmonic maps into singular spaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the Bakry-Émery condition, the gradient estimates and the local-to-global property of \(\mathrm{RCD}^*(K,N)\) metric measure spaces
- On the equivalence of the entropic curvature-dimension condition and Bochner's inequality on metric measure spaces
- Harmonic maps between singular spaces. I
- Nonlinear potential theory on metric spaces
- On intrinsic geometry of surfaces in normed spaces
- Lipschitz continuity of solutions of Poisson equations in metric measure spaces
- Weak curvature conditions and functional inequalities
- Localization and tensorization properties of the curvature-dimension condition for metric measure spaces
- Harmonic mappings and minimal submanifolds
- Harmonic maps and the topology of stable hypersurfaces and manifolds with non-negative Ricci curvature
- Quasiconformal maps in metric spaces with controlled geometry
- Differentiability of Lipschitz functions on metric measure spaces
- Equilibrium maps between metric spaces
- Axiomatic theory of Sobolev spaces
- Global existence theorems for harmonic maps to nonlocally compact spaces
- Lipschitz continuity of Cheeger-harmonic functions in metric measure spaces
- Parabolicity of manifolds
- Harmonic maps into singular spaces and \(p\)-adic superrigidity for lattices in groups of rank one
- Newtonian spaces: An extension of Sobolev spaces to metric measure spaces
- Capacities in metric spaces
- On energy minimizing mappings between and into singular spaces
- Sobolev spaces and harmonic maps for metric space targets
- Geometry of harmonic maps
- Sobolev spaces on an arbitrary metric space
- Yau's gradient estimates on Alexandrov spaces
- Ricci curvature for metric-measure spaces via optimal transport
- Calculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below
- Cheeger-harmonic functions in metric measure spaces revisited
- Metric measure spaces with Riemannian Ricci curvature bounded from below
- On the measure contraction property of metric measure spaces
- Harmonic maps from a simplicial complex and geometric rigidity
- On the geometry of metric measure spaces. II
- $C^\infty$ approximations of convex, subharmonic, and plurisubharmonic functions
- Sobolev met Poincaré
- Sobolev and Dirichlet spaces over maps between metric spaces
- Heat Flow on Alexandrov Spaces
- Metric spaces, convexity and nonpositive curvature
- On generalized measure contraction property and energy functionals over Lipschitz maps
This page was built for publication: Riemannian polyhedra and Liouville-type theorems for harmonic maps
