Rigidity and other topological aspects of compact nonpositively curved manifolds

DOI10.1090/S0273-0979-1990-15839-2zbMath0703.57018OpenAlexW1972580767MaRDI QIDQ3482564

Francis Thomas Farrell, Lowell Jones

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1090/s0273-0979-1990-15839-2

zbMATH Keywords

rigiditynon-positive sectional curvaturehomotopy equivalencecompact connected Riemannian manifoldhomotopic to a homeomorphism

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Global Riemannian geometry, including pinching (53C20) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) Differential topological aspects of diffeomorphisms (57R50)

Related Items

Flows and joins of metric spaces, Homotopically trivial actions on aspherical spaces and topological rigidity of free actions, Rigidity of geometric structures, Curvature, tangentiality, and controlled topology, The absolute degree and the Nielsen root number of compositions and Cartesian products of maps, A vanishing theorem for tautological classes of aspherical manifolds, Rigidity and characteristic classes of smooth bundles with nonpositively curved fibers, Factorization of group homomorphisms

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