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Quaternionic Kahler manifolds of cohomogeneity one

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  • Andrew Dancer, McMaster University, Jesus College, Oxford
  • ,
  • Andrew Swann

Classification results are given for (i) compact quaternionic Kähler manifolds with a cohomogeneity-one action of a semi-simple group, (ii) certain complete hyperKähler manifolds with a cohomogeneity-two action of a semi-simple group preserving each complex structure, (iii) compact 3-Sasakian manifolds which are cohomogeneity one with respect to a group of 3-Sasakian symmetries. Information is also obtained about non-compact quaternionic Kähler manifolds of cohomogeneity one and the cohomogeneity of adjoint orbits in complex semi-simple Lie algebras.

Original languageEnglish
JournalInternational Journal of Mathematics
Pages (from-to)541-570
Number of pages30
Publication statusPublished - 1 Jan 1999
Externally publishedYes

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