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Quaternionic Kähler Manifolds of Cohomogeneity One | | Andrew Dancer
; Andrew Swann
; | | Date: |
21 Aug 1998 | | Journal: | Internat. J. Math. 10 (1999), 541--570 | | Subject: | Differential Geometry MSC-class: 53C25 (Primary) 14L30, 32L25, 57S25 (Secondary) | math.DG | | Affiliation: | McMaster), Andrew Swann (Bath | | Abstract: | 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. | | Source: | arXiv, math.DG/9808097 | | Services: | Forum | Review | PDF | Favorites | |
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