Local classification of conformally-Einstein Kähler metrics in higher dimensions
| dc.creator | Derdzinski, A. | |
| dc.creator | Maschler, G. | |
| dc.date | 2002-03-31 | |
| dc.date.accessioned | 2026-07-07T06:29:50Z | |
| dc.date.available | 2026-07-07T06:29:50Z | |
| dc.description | The requirement that a (non-Einstein) Kähler metric in any given complex dimension $m>2$ be almost-everywhere conformally Einstein turns out to be much more restrictive, even locally, than in the case of complex surfaces. The local biholomorphic-isometry types of such metrics depend, for each $m>2$, on three real parameters along with an arbitrary Kähler-Einstein metric $h$ in complex dimension $m-1$. We provide an explicit description of all these local-isometry types, for any given $h$. That result is derived from a more general local classification theorem for metrics admitting functions we call {\it special Kähler-Ricci potentials}. | |
| dc.description | 38 pages, AMSTeX, submitted to the Proceedings of the London Mathematical Society | |
| dc.identifier | https://arxiv.org/abs/math/0204013 | |
| dc.identifier | http://arxiv.org/abs/math/0204013 | |
| dc.identifier | Proc. London Math. Soc. (3) 87 (2003), no. 3, 779-819 | |
| dc.identifier | doi:10.1112/S0024611503014175 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/98180 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53B35 53B20 (Primary) 53C25 53C55 (Secondary) | |
| dc.title | Local classification of conformally-Einstein Kähler metrics in higher dimensions | |
| dc.type | text |