Topological obstructions to nonnegative curvature

DOI10.1007/PL00004467zbMath0997.53027arXivmath/0001125OpenAlexW2059881508MaRDI QIDQ5947128

Vitali Kapovitch, Igor Belegradek

Publication date: 21 October 2001

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0001125

zbMATH Keywords

fundamental groupsoul theoremvector bundlenonnegative curvaturePontryagin class

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items (8)

Conditions for nonnegative curvature on vector bundles and sphere bundles. ⋮ Obstructions to nonnegative curvature and rational homotopy theory ⋮ Vector bundles of non-negative curvature over cohomogeneity one manifolds ⋮ Bounds on sectional curvature and interactions with topology ⋮ Rational homotopy theory and nonnegative curvature ⋮ Lifting group actions and nonnegative curvature ⋮ Nonnegative curvature on stable bundles over compact rank one symmetric spaces ⋮ Non-existence of negative weight derivations on positively graded Artinian algebras

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