Combinatorial harmonic maps and discrete-group actions on Hadamard spaces
From MaRDI portal
Publication:2572568
DOI10.1007/s10711-004-1843-yzbMath1108.58014arXivmath/0410019OpenAlexW2017711173MaRDI QIDQ2572568
Publication date: 10 November 2005
Published in: Geometriae Dedicata (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0410019
Related Items
Random groups have fixed points on $\mathrm{CAT}(0)$ cube complexes ⋮ Fixed point and rigidity theorems for harmonic maps into NPC spaces ⋮ Random groups, random graphs and eigenvalues of \(p\)-Laplacians ⋮ Affine maps between CAT(0) spaces ⋮ Fixed-point property of random groups. ⋮ \(N\)-step energy of maps and the fixed-point property of random groups. ⋮ Computing Harmonic Maps and Conformal Maps on Point Clouds ⋮ Old and new challenges in Hadamard spaces ⋮ Harmonic functions of general graph Laplacians ⋮ Dominating CAT\((-1)\) surface group representations by Fuchsian ones ⋮ Isometric group actions with vanishing rate of escape on \(\mathrm{CAT}(0)\) spaces ⋮ CAT(0) spaces and expanders. ⋮ Constantes de Sobolev des arbres ⋮ The energy of equivariant maps and a fixed-point property for Busemann nonpositive curvature spaces ⋮ Fixed point theorem for reflexive Banach spaces and uniformly convex non positively curved metric spaces. ⋮ Uniform estimates of nonlinear spectral gaps ⋮ A fixed point theorem in \(L^p\)-spaces ⋮ Resolvent flows for convex functionals and \(p\)-harmonic maps ⋮ Fixed-point property of random quotients by plain words. ⋮ Local uniformization and free boundary regularity of minimal singular surfaces ⋮ Poincaré inequalities and rigidity for actions on Banach spaces ⋮ Strengthening Kazhdan's property \((T)\) by Bochner methods ⋮ Non-aspherical ends and non-positive curvature ⋮ Harmonic analysis from quasi-periodic domains ⋮ An average John theorem ⋮ Expanders with respect to Hadamard spaces and random graphs ⋮ Poincaré inequalities, embeddings, and wild groups ⋮ Nonpositive curvature is not coarsely universal ⋮ Group approximation in Cayley topology and coarse geometry Part I: Coarse embeddings of amenable groups ⋮ Group approximation in Cayley topology and coarse geometry. II: Fibred coarse embeddings
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Archimedean superrigidity and hyperbolic geometry
- Geometric superrigidity
- Equilibrium maps between metric spaces
- On \(L^2\)-cohomology and property (T) for automorphism groups of polyhedral cell complexes
- Random walk in random groups.
- Property (T) and Kazhdan constants for discrete groups
- Convex functionals and generalized harmonic maps into spaces of non positive curvature
- The nonexistence of certain generalized polygons
- p-adic curvature and the cohomology of discrete subgroups of p-adic groups
- Twisted Harmonic Maps and the Self-Duality Equations
- Standard realizations of crystal lattices via harmonic maps
- Harmonic Mappings of Riemannian Manifolds