CHEEGER ISOPERIMETRIC CONSTANTS OF GROMOV-HYPERBOLIC SPACES WITH QUASI-POLES
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Publication:2707941
DOI10.1142/S0219199700000232zbMath0981.53021MaRDI QIDQ2707941
Publication date: 11 March 2002
Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)
Integral geometry (53C65) Global Riemannian geometry, including pinching (53C20) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)
Related Items (10)
Hilbert geometries have bounded local geometry ⋮ Cheeger isoperimetric constant of Gromov hyperbolic manifolds and graphs ⋮ Geometric and Spectral Consequences of Curvature Bounds on Tessellations ⋮ Sectional curvature of polygonal complexes with planar substructures ⋮ Dirichlet problem at infinity on Gromov hyperbolic metric measure spaces ⋮ A note on isoperimetric inequalities of Gromov hyperbolic manifolds and graphs ⋮ The Cheeger constant of an asymptotically locally hyperbolic manifold and the Yamabe type of its conformal infinity ⋮ Unnamed Item ⋮ Generalized chordality, vertex separators and hyperbolicity on graphs ⋮ Bas du spectre et delta-hyperbolicité en géométrie de Hilbert plane
Cites Work
- Rough isometries, and combinatorial approximations of geometries of non- compact Riemannian manifolds
- The Dirichlet problem at infinity for a negatively curved manifold
- Positive harmonic functions on complete manifolds of negative curvature
- Negatively curved manifolds, elliptic operators, and the Martin boundary
- Embeddings of Gromov hyperbolic spaces
- Spectrum, harmonic functions, and hyperbolic metric spaces
- An upper bound to the spectrum of \(\Delta\) on a manifold of negative curvature
- On the structure of complete manifolds of nonnegative curvature
- Visibility manifolds
- On the Dirichlet Problem at Infinity for Manifolds of Nonpositive Curvature
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