Geodesics in non-positively curved plane tessellations
From MaRDI portal
Publication:5479748
DOI10.1515/ADVGEOM.2006.014zbMath1098.53034OpenAlexW2090192409MaRDI QIDQ5479748
Norbert Peyerimhoff, Oliver Baues
Publication date: 11 July 2006
Published in: advg (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/advgeom.2006.014
Geodesics in global differential geometry (53C22) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)
Related Items
Total curvature of planar graphs with nonnegative combinatorial curvature ⋮ Strong isoperimetric inequalities and combinatorial curvatures on multiply connected planar graphs ⋮ The essential spectrum of the Laplacian on rapidly branching tessellations ⋮ Volume growth, spectrum and stochastic completeness of infinite graphs ⋮ ALGORITHMS FOR DISTANCE PROBLEMS IN PLANAR COMPLEXES OF GLOBAL NONPOSITIVE CURVATURE ⋮ Cheeger constants, growth and spectrum of locally tessellating planar graphs ⋮ Geometric and Spectral Consequences of Curvature Bounds on Tessellations ⋮ On the \(l^p\) spectrum of Laplacians on graphs ⋮ The set of vertices with positive curvature in a planar graph with nonnegative curvature ⋮ Curvature, geometry and spectral properties of planar graphs ⋮ Every graph is a cut locus ⋮ A cut locus for finite graphs and the farthest point mapping ⋮ Sectional curvature of polygonal complexes with planar substructures ⋮ The Kazdan-Warner equation on canonically compactifiable graphs ⋮ An overview of curvature bounds and spectral theory of planar tessellations ⋮ A curvature notion for planar graphs stable under planar duality ⋮ Elliptic operators on planar graphs: Unique continuation for eigenfunctions and nonpositive curvature ⋮ Duality properties of strong isoperimetric inequalities on a planar graph and combinatorial curvatures ⋮ Geometric analysis aspects of infinite semiplanar graphs with nonnegative curvature II ⋮ Hyperbolic polyhedral surfaces with regular faces ⋮ On the largest planar graphs with everywhere positive combinatorial curvature ⋮ Some criteria for circle packing types and combinatorial Gauss-Bonnet Theorem
Cites Work
- Negatively curved graph and planar metrics with applications to type
- Recurrence and transience of the edge graph of a tiling of the Euclidean plane
- Strongly geodesically automatic groups are hyperbolic
- A note on tilings and strong isoperimetric inequality
- Random Walks on Infinite Graphs and Groups - a Survey on Selected topics
- Difference Equations, Isoperimetric Inequality and Transience of Certain Random Walks
- A maximum principle for graphs
- Bounds for isoperimetric constants of infinite plane graphs
This page was built for publication: Geodesics in non-positively curved plane tessellations