Conformal symmetries of self-dual hyperbolic monopole metrics
| dc.creator | Honda, Nobuhiro | |
| dc.creator | Viaclovsky, Jeff | |
| dc.date | 2009-02-12 | |
| dc.date.accessioned | 2026-07-07T12:40:53Z | |
| dc.date.available | 2026-07-07T12:40:53Z | |
| dc.description | We determine the group of conformal automorphisms of the self-dual metrics on n#CP^2 due to LeBrun for n>2, and Poon for n=2. These metrics arise from an ansatz involving a circle bundle over hyperbolic three-space H^3 minus a finite number of points, called monopole points. We show that for n>2 connected sums, any conformal automorphism is a lift of an isometry of H^3 which preserves the set of monopole points. Furthermore, we prove that for n = 2, such lifts form a subgroup of index 2 in the full automorphism group, which we show is a semi-direct product (U(1) \times U(1)) \times D_4, the dihedral group of order 8. | |
| dc.description | 46 pages, 2 figures | |
| dc.identifier | https://arxiv.org/abs/0902.2019 | |
| dc.identifier | http://arxiv.org/abs/0902.2019 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/219585 | |
| dc.subject | Differential Geometry | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 53C25; 53C28 | |
| dc.title | Conformal symmetries of self-dual hyperbolic monopole metrics | |
| dc.type | text |