\(L^p\)-cohomology and pincing

DOI10.4171/CMH/126zbMath1142.53023arXiv1207.5617OpenAlexW1978610377MaRDI QIDQ2427588

Pierre Pansu

Publication date: 13 May 2008

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.5617

zbMATH Keywords

Busemann functionhomogeneous spacepinchingnegative curvaturesemi-direct product\(L^p\)-cohomologyreduced \(L^p\)-cohomology\(L^p\)-cohomology torsionquasi-isometric Riemannian manifoldsrank \(1\) symmetric spacereal (resp. complex) hyperbolic space

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Global Riemannian geometry, including pinching (53C20) Hodge theory in global analysis (58A14) Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20) Analysis on other specific Lie groups (43A80) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Homology and cohomology of homogeneous spaces of Lie groups (57T15) Direct methods ((G)-spaces of Busemann, etc.) (53C70)

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