On leafwise conformal diffeomorphisms
| dc.creator | Niedzialomski, Kamil | |
| dc.date | 2008-12-07 | |
| dc.date.accessioned | 2026-07-07T12:10:08Z | |
| dc.date.available | 2026-07-07T12:10:08Z | |
| dc.description | For every diffeomorphism $φ:M\to N$ between 3--dimensional Riemannian manifolds $M$ and $N$ there are in general locally two 2--dimensional distributions $D_{\pm}$ such that $φ$ is conformal on both of them. We state necessary and sufficient conditions for a distribution to be one of $D_{\pm}$. These are algebraic conditions expressed in terms of the self-adjoint and positive definite operator $(φ_{\ast})^*φ_{\ast}$. We investigate integrability condition of $D_+$ and $D_-$. We also show that it is possible to choose coordinate systems in which leafwise conformal diffeomorphism is holomorphic on leaves. | |
| dc.description | 12 pages | |
| dc.identifier | https://arxiv.org/abs/0812.1378 | |
| dc.identifier | http://arxiv.org/abs/0812.1378 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/209852 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53A30, 53C12, 53B20 | |
| dc.title | On leafwise conformal diffeomorphisms | |
| dc.type | text |