Totally geodesic orbits in homogeneous spaces

  • Y. Villarroel
Part of the Mathematics and Its Applications book series (MAIA, volume 350)


Let M = G/H be a homogeneous space with G a compact, connected Lie group, H С G a closed subgroup and π : G →+ G/H the canonical projection. Let K С G be a closed subgroup and K(o) the orbit of o = π(H), under the restriction of α to K. Put dimK(o) = n.


Homogeneous Space Maximal Subgroup Differential System Closed Subgroup Contact Element 
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Copyright information

© Kluwer Academic Publishers 1996

Authors and Affiliations

  • Y. Villarroel
    • 1
  1. 1.Dpto. de Matemáticas, Facultad de CienciasUniversidad Central de VenezuelaCaracasVenezuela

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