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Existence of Riemannian metrics with positive biorthogonal curvature on simply connected 5-manifolds

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Publication:2203995
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DOI10.1007/s00013-020-01511-xzbMath1448.53046arXiv2007.08671OpenAlexW3048462241WikidataQ115390084 ScholiaQ115390084MaRDI QIDQ2203995

Boris Stupovski, Rafael Torres

Publication date: 2 October 2020

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.08671


zbMATH Keywords

biorthogonal curvature5-manifoldspositive biorthogonal curvature


Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Methods of local Riemannian geometry (53B21)




Cites Work

  • Unnamed Item
  • On the structure of 5-manifolds
  • Flats in Riemannian submersions from Lie groups
  • Manifolds with positive sectional curvature almost everywhere.
  • Four-dimensional manifolds with positive biorthogonal curvature
  • Curvature increasing metric variations
  • Simply connected five-manifolds
  • Positive biorthogonal curvature on $S^2\times S^2$
  • Symmetries of Baryons and Mesons
  • Lie groups beyond an introduction
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