Filling-invariants at infinity for manifolds of nonpositive curvature

DOI10.1090/S0002-9947-98-02317-4zbMath0920.53023arXivmath/9504207MaRDI QIDQ4211106

Benson Farb, Noel Brady

Publication date: 10 September 1998

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9504207

zbMATH Keywords

fillingquasi-isometry invariantsnonpositive curvatureasymptotic volume growth

Mathematics Subject Classification ID

Geometric group theory (20F65) Topological methods in group theory (57M07) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

Related Items

Morse quasiflats. I, Quasi-isometric embeddings of symmetric spaces, Hyperbolic rank of products, On the filling invariants at infinity of Hadamard manifolds, Bilipschitz embeddings of negative sectional curvature in products of warped product manifolds, Filling invariants of stratified nilpotent Lie groups, Dimensions of locally and asymptotically self-similar spaces, Higher divergence for nilpotent Lie groups, Combinatorial higher dimensional isoperimetry and divergence, Higher dimensional divergence for mapping class groups

Cites Work

• Quadratic divergence of geodesics in CAT(0) spaces
• Rigidity of quasi-isometries for symmetric spaces and Euclidean buildings
• Quasi-flats and rigidity in higher rank symmetric spaces
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