Journal of Geometry

, Volume 58, Issue 1–2, pp 66–86 | Cite as

Curvature of indefinite almost contact manifolds

  • Agustín Bonome
  • Regina Castro
  • Eduardo García-Río
  • Luis Hervella


The curvature tensor of indefinite almost contact manifolds is investigated. By means of the study of the Jacobi operator along spacelike, timelike and null geodesies, spaces of constant curvature are characterized as well as spaces of pointwise constant ϕ-sectional curvature. As an extension of these conditions we introduce the socalled ϕ-isotropic spaces and show a local classification of such manifolds.


Curvature Tensor Constant Curvature Jacobi Operator Contact Manifold Local Classification 
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Copyright information

© Birkhäuser Verlag 1997

Authors and Affiliations

  • Agustín Bonome
    • 1
  • Regina Castro
    • 1
  • Eduardo García-Río
    • 2
  • Luis Hervella
    • 1
  1. 1.Departamento de Xeometría e TopoloxíaUniversidade de Santiago de CompostelaSantiago de CompostelaSpain
  2. 2.Departamento de Análise Matemática Facultade de MatemáticasUniversidade de Santiago de CompostelaSantiago de CompostelaSpain

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