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Indefinite quaternion space forms

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Publication:1050643
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DOI10.1007/BF01760989zbMath0513.53043MaRDI QIDQ1050643

Juan de Dios Pérez, Florentino G. Santos

Publication date: 1982

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)


zbMATH Keywords

Ricci tensorindefinite metricquaternionic space formalmost quaternion manifold


Mathematics Subject Classification ID

General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)


Related Items

Conformal flatness, non-abelian Kaluza-Klein reduction and quaternions ⋮ Non-degenerate homogeneous \(\epsilon\)-Kähler and \(\epsilon\)-quaternion Kähler structures of linear type



Cites Work

  • Modello metrico reale dello spazio proiettivo quaternionale
  • Indefinite Kähler manifolds
  • Quaternion Kählerian manifolds
  • On sectional curvature of indefinite metrics
  • The values of sectional curvature in indefinite metrics
  • On sectional curvature of indefinite metrics. II
  • On the axioms of planes in quaternionic geometry
  • Isotropic manifolds of indefinite metric
  • On the de Rham decomposition theorem
  • Topology of Quaternionic Manifolds
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