Tensor fields and connections on holomorphic orbit spaces of finite groups
| dc.creator | Kriegl, Andreas | |
| dc.creator | Losik, Mark | |
| dc.creator | Michor, Peter W. | |
| dc.date | 2002-03-08 | |
| dc.date | 2002-10-29 | |
| dc.date.accessioned | 2026-07-07T04:46:55Z | |
| dc.date.available | 2026-07-07T04:46:55Z | |
| dc.description | For a representation of a finite group $G$ on a complex vector space $V$ we determine when a holomorphic $\binom{p}{q}$-tensor field on the principle stratum of the orbit space $V/G$ can be lifted to a holomorphic $G$-invariant tensor field on $V$. This extends also to connections. As a consequence we determine those holomorphic diffeomorphisms on $V/G$ which can be lifted to orbit preserving holomorphic diffeomorphisms on $V$. This in turn is applied to characterize complex orbifolds. | |
| dc.description | 15 pages, LaTeX, some arguments rearranged | |
| dc.identifier | https://arxiv.org/abs/math/0203079 | |
| dc.identifier | http://arxiv.org/abs/math/0203079 | |
| dc.identifier | J. Lie Theory 13 (2003), 519--534 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63523 | |
| dc.subject | Differential Geometry | |
| dc.subject | Complex Variables | |
| dc.subject | Representation Theory | |
| dc.subject | 32M17 | |
| dc.title | Tensor fields and connections on holomorphic orbit spaces of finite groups | |
| dc.type | text |