Totally geodesic orbits in homogeneous spaces

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

Abstract

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.

Keywords

Homogeneous Space Maximal Subgroup Differential System Closed Subgroup Contact Element 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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