Cohomogeneity-Three HyperKähler Metrics on Nilpotent Orbits
| dc.creator | Villumsen, Martin | |
| dc.date | 2004-06-01 | |
| dc.date.accessioned | 2026-07-07T05:08:46Z | |
| dc.date.available | 2026-07-07T05:08:46Z | |
| dc.description | Let O be a nilpotent orbit in g^C where G is a compact, simple group and g=Lie(G). It is known that O carries a unique G-invariant hyperKähler metric admitting a hyperKähler potential compatible with the Kirillov-Kostant-Souriau symplectic form. In this work, the hyperKähler potential is explicitly calculated when O is of cohomogeneity three under the action of G. It is found that such a structure lies on a one-parameter family of hyperKähler metrics with G-invariant Kähler potentials if and only if g is sp(3), su(6), so(7), so(12) or e_7 and otherwise is the unique G-invariant hyperKähler metric with G-invariant Kähler potential. | |
| dc.identifier | https://arxiv.org/abs/math/0406009 | |
| dc.identifier | http://arxiv.org/abs/math/0406009 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71395 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C25; 17B20, 32M15, 57S25 | |
| dc.title | Cohomogeneity-Three HyperKähler Metrics on Nilpotent Orbits | |
| dc.type | text |