Polar actions on Hermitian and quaternion-Kähler symmetric spaces

@article{Tebege2006PolarAO,
  title={Polar actions on Hermitian and quaternion-K{\"a}hler symmetric spaces},
  author={Samuel Tebege},
  journal={Geometriae Dedicata},
  year={2006},
  volume={129},
  pages={155-171}
}
  • Samuel Tebege
  • Published 18 December 2006
  • Mathematics
  • Geometriae Dedicata
We analyze polar actions on Hermitian and quaternion-Kähler symmetric spaces of compact type. For complex integrable polar actions on Hermitian symmetric spaces of compact type we prove a reduction theorem and several corollaries concerning the geometry of these actions. The results are independent of the classification of polar actions on Hermitian symmetric spaces. In the second part we prove that polar actions on Wolf spaces are quaternion-coisotropic and that isometric actions on these… 
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