Informace o publikaci
Some Modifications of the Theorem of Beltrami
| Autoři | |
|---|---|
| Rok publikování | 2011 |
| Druh | Článek v odborném periodiku |
| Časopis / Zdroj | Annali di Matematica Pura ed Applicata |
| Fakulta / Pracoviště MU | |
| Citace | |
| Doi | http://dx.doi.org/10.1007/s10231-010-0150-5 |
| Obor | Obecná matematika |
| Klíčová slova | Theorem of Beltrami |
| Popis | The two main topics of this text are as follows: Firstly, three modifications of the theorem of Beltrami will be presented for diffeomorphisms between Riemannian manifolds and a space form which preserve the geodesic circles, the geodesic hyperspheres, or the minimal surfaces, respectively. Secondly, it is defined what it means for an infinitesimal deformation of a metric to preserve the geodesics up to first order, and a corresponding infinitesimal version of Beltrami's theorem is given. |
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