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Some characterizations of quaternionic space forms

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Publication:5928552
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DOI10.3792/pjaa.76.168zbMath0997.53037OpenAlexW2060596684MaRDI QIDQ5928552

Toshiaki Adachi, Sadahiro Maeda

Publication date: 29 March 2001

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.76.168


zbMATH Keywords

constant quaternionic sectional curvaturegeodesic spheresquaternionic Kähler manifoldsquaternionic space forms


Mathematics Subject Classification ID

Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26)


Related Items

Statistical manifolds with almost quaternionic structures and quaternionic Kähler-like statistical submersions ⋮ Unnamed Item ⋮ A generalized Wintgen inequality for quaternionic CR-submanifolds ⋮ On Chen invariants and inequalities in quaternionic geometry ⋮ Harmonicity and minimality of complex and quaternionic radial foliations



Cites Work

  • Unnamed Item
  • Unnamed Item
  • Quaternion Kählerian manifolds
  • Real hypersurfaces in quaternionic Kaehlerian manifolds with constant $Q$-sectional curvature
  • Differential geometry of geodesic spheres.
  • Space forms from the viewpoint of their geodesic spheres
  • Constancy of holomorphic sectional curvature in almost Hermitian manifolds
  • Real hypersurfaces in quaternionic space forms.
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