Convex geodesic bicombings and hyperbolicity
From MaRDI portal
Publication:2516435
DOI10.1007/s10711-014-9994-yzbMath1343.53036arXiv1404.5051OpenAlexW2963024192MaRDI QIDQ2516435
Publication date: 3 August 2015
Published in: Geometriae Dedicata (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1404.5051
Geometric group theory (20F65) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Hyperbolic groups and nonpositively curved groups (20F67)
Related Items (29)
Morse quasiflats. I ⋮ On the geometry and fixed point free mappings in hyperbolic spaces ⋮ Flats in spaces with convex geodesic bicombings ⋮ Mini-workshop: Nonpositively curved complexes. Abstracts from the mini-workshop held February 7--13, 2021 (online meeting) ⋮ Fixed point theorems for metric spaces with a conical geodesic bicombing ⋮ Geodesic bicombings on some hyperspaces ⋮ The behavior of fixed point free nonexpansive mappings in geodesic spaces ⋮ Asymptotic rank of spaces with bicombings ⋮ Entropies of non-positively curved metric spaces ⋮ Morse quasiflats. II ⋮ Characterizations of higher rank hyperbolicity ⋮ Ball intersection properties in metric spaces ⋮ Conical geodesic bicombings on subsets of normed vector spaces ⋮ Coarse injectivity, hierarchical hyperbolicity and semihyperbolicity ⋮ The Farrell–Jones conjecture for hyperbolic and CAT(0)-groups revisited ⋮ Coronas for properly combable spaces ⋮ Designing universal causal deep learning models: The geometric (Hyper)transformer ⋮ A metric fixed point theorem and some of its applications ⋮ A topological product decomposition of Busemann space ⋮ Differential geometry in the large (hybrid meeting). Abstracts from the workshop held July 4--10, 2021 (hybrid meeting) ⋮ Unnamed Item ⋮ Sectional curvature-type conditions on metric spaces ⋮ Some aspects of Isbell-convex quasi-metric spaces ⋮ Injective subsets of \(l_{\infty}(I)\) ⋮ Normed planes in tangent cone to chord space of nonpositive curvature ⋮ Helly meets Garside and Artin ⋮ Lipschitz free spaces isomorphic to their infinite sums and geometric applications ⋮ Majorization by hemispheres and quadratic isoperimetric constants ⋮ Higher rank hyperbolicity
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Elements of asymptotic geometry
- Trees, tight extensions of metric spaces, and the cohomological dimension of certain groups: A note on combinatorial properties of metric spaces
- The metric injective hulls of normed spaces
- The local structure of length spaces with curvature bounded above
- Discovering the algebraic structure on the metric injective envelope of a real Banach space
- The de Rham decomposition theorem for metric spaces
- Six theorems about injective metric spaces
- The Hadamard-Cartan theorem in locally convex metric spaces
- INJECTIVE HULLS OF CERTAIN DISCRETE METRIC SPACES AND GROUPS
- Spaces with many affine functions
- The Boundary of Negatively Curved Groups
- Concerning locally homotopy negligible sets and characterization of $l_2$-manifolds
- Geometric Aspects of General Topology
- Injective envelopes of Banach spaces are rigidly attached
- Some Theorems on Equiconnected and Locally Equiconnected Spaces
- Locally equiconnected spaces and absolute neighborhood retracts
- A Theorem of the Hahn-Banach Type for Linear Transformations
- Banach Spaces with the Extension Property
- Metric spaces, convexity and nonpositive curvature
This page was built for publication: Convex geodesic bicombings and hyperbolicity