The \(\ell_p\)-cohomology and the conformal dimension of hyperbolic cones

DOI10.1023/A:1004920322337zbMath0899.53035OpenAlexW81307383MaRDI QIDQ1379517

Gábor Elek

Publication date: 28 October 1998

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1004920322337

zbMATH Keywords

hyperbolic spacesbox dimensionconformal dimension\(l_p\)-coronaquasi-isometric invariants

Mathematics Subject Classification ID

Fractals (28A80) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

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\(\ell_p\)-cohomology in higher degrees and conformal dimension, On the tree-likeness of hyperbolic spaces, Conformal Assouad dimension as the critical exponent for combinatorial modulus, On the conformal walk dimension: quasisymmetric uniformization for symmetric diffusions, Relative L^p-cohomology and application to Heintze groups, Spanning trees in hyperbolic graphs, Embeddings of hyperbolic groups into products of binary trees, Convergence of metric graphs and energy forms, Conformal dimension and combinatorial modulus of compact metric spaces