Open manifolds with non-homeomorphic positively curved souls

DOI10.1017/S0305004119000227zbMath1479.53046arXiv1802.07836MaRDI QIDQ4958665

Marcus Zibrowius, David González-Álvaro

Publication date: 14 September 2021

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.07836

zbMATH Keywords

soul theorempositive sectional curvature

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Topology of vector bundles and fiber bundles (57R22) Geometric applications of topological (K)-theory (19L64)

Related Items (6)

Diffeomorphic souls and disconnected moduli spaces of nonnegatively curved metrics ⋮ Vector bundles of non-negative curvature over cohomogeneity one manifolds ⋮ Bounds on sectional curvature and interactions with topology ⋮ Correction to: ``Moduli spaces of nonnegative sectional curvature and non-unique souls ⋮ The stable converse soul question for positively curved homogeneous spaces ⋮ Index theory and deformations of open nonnegatively curved manifolds

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