Stability of the volume growth rate under quasi-isometries
From MaRDI portal
Publication:2303548
DOI10.1007/s13163-019-00301-6zbMath1436.30037OpenAlexW2925344104WikidataQ128121817 ScholiaQ128121817MaRDI QIDQ2303548
Ana Portilla, Ana Granados, Domingo Pestana, Eva Tourís, José M. Rodríguez
Publication date: 4 March 2020
Published in: Revista Matemática Complutense (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13163-019-00301-6
Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Global Riemannian geometry, including pinching (53C20) Classification theory of Riemann surfaces (30F20)
Related Items
Stability of p‐parabolicity under quasi‐isometries, Parabolicity on graphs, Liouville property and quasi-isometries on negatively curved Riemannian surfaces, Isoperimetric inequalities in Riemann surfaces and graphs, On \(p\)-parabolicity of Riemannian manifolds and graphs
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Volume growth, spectrum and stochastic completeness of infinite graphs
- Graphs and Gromov hyperbolicity of non-constant negatively curved surfaces
- Rough isometries, and combinatorial approximations of geometries of non- compact Riemannian manifolds
- A characterization of Gromov hyperbolicity of surfaces with variable negative curvature
- Rough isometries and the parabolicity of Riemannian manifolds
- Manifolds of nonpositive curvature
- Positive harmonic functions on complete manifolds with non-negative curvature outside a compact set
- Topological entropy for geodesic flows
- A relation between growth and the spectrum of the Laplacian
- Sur les groupes hyperboliques d'après Mikhael Gromov. (On the hyperbolic groups à la M. Gromov)
- Area growth and Green's function of Riemann surfaces
- Cylinders in Riemann surfaces
- The collar theorem and examples
- Parabolic Harnack inequality and estimates of Markov chains on graphs
- Rough isometries and \(p\)-harmonic functions with finite Dirichlet integral
- Potential theory on infinite networks
- Isoperimetric inequalities and Dirichlet functions of Riemann surfaces
- \(p\)-harmonic functions on graphs and manifolds
- Gromov hyperbolicity through decomposition of metrics spaces. II
- Stability of the injectivity radius under quasi-isometries and applications to isoperimetric inequalities
- Green's functions, harmonic functions, and volume comparison
- Two remarks on Riemann surfaces
- Volume growth, Green's functions, and parabolicity of ends
- Isoperimetric inequalities in Riemann surfaces and graphs
- Remarks on conformal transformations
- Quasi-isometries and isoperimetric inequalities in planar domains
- Isometric immersions of Riemannian manifolds
- On discontinuous groups operating on the product of the upper half planes
- Dirichlet forms and stochastic completeness of graphs and subgraphs
- The exponent of convergence of Riemann surfaces. Bass Riemann surfaces
- On the Existence of Green's Function in Riemannian Manifolds
- Differential equations on riemannian manifolds and their geometric applications
- Geometry and spectra of compact Riemann surfaces
- On harmonic functions on trees
- Estimates for nonlinear harmonic measures on trees
