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$\mathrm{CAT}(0)$
$4$–manifolds are Euclidean
Alexander Lytchak, Koichi Nagano and Stephan Stadler |
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Geometry & Topology 28 (2024) 3285–3308
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Abstract |
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We prove that a topological –manifold of globally nonpositive curvature is homeomorphic to Euclidean space. |
Keywords
$\mathbb{R}^4$, Cartan–Hadamard, strainer map
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Mathematical Subject Classification
Primary: 51H20, 51K10, 53C23, 54F65, 57N16
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References |
Publication
Received: 27 May 2022
Revised: 29 March 2023
Accepted: 29 April 2023
Published: 25 November 2024
Proposed: Urs Lang
Seconded: John Lott, Bruce Kleiner
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Authors |
| Alexander Lytchak | |
| Institut für Algebra und
Geometrie Karlsruher Institut für Technologie Karlsruhe Germany |
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| Koichi Nagano | |
| Department of Mathematics University of Tsukuba Tsukuba Japan |
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| Stephan Stadler | |
| Max Planck Institute for
Mathematics Bonn Germany |
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| © 2024 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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