Annali di Matematica Pura ed Applicata (1923 -)

, Volume 195, Issue 5, pp 1619–1637 | Cite as

Cyclic homogeneous Riemannian manifolds

  • P. M. Gadea
  • J. C. González-Dávila
  • J. A. Oubiña
Article
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Abstract

Some characterizations and properties of cyclic and traceless cyclic homogeneous Riemannian manifolds are given. The classification of simply connected cyclic homogeneous Riemannian manifolds of dimension less than or equal to four is obtained. A wide list of examples of noncompact irreducible Riemannian 3-symmetric spaces admitting cyclic metrics and the expression of these metrics is also given.

Keywords

Cyclic homogeneous Riemannian manifolds Cyclic metric Lie groups Homogeneous structures Riemannian 3-symmetric spaces 

Mathematics Subject Classification

53C30 53C35 53C15 
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Copyright information

© Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  • P. M. Gadea
    • 1
  • J. C. González-Dávila
    • 2
  • J. A. Oubiña
    • 3
  1. 1.Instituto de Física Fundamental, CSICMadridSpain
  2. 2.Departamento de Matemáticas, Estadística e Investigación OperativaUniversidad de La LagunaLa LagunaSpain
  3. 3.Departamento de Xeometría e Topoloxía, Facultade de MatemáticasUniversidade de Santiago de CompostelaSantiago de CompostelaSpain

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