Integrable geodesic flows on tubular sub-manifolds
| dc.contributor.author | Томас Уотерс | |
| dc.date.accessioned | 2018-12-19T13:12:28Z | |
| dc.date.available | 2018-12-19T13:12:28Z | |
| dc.date.issued | 2018 | |
| dc.description.abstract | In this paper we construct a new class of surfaces whose geodesic flow is integrable (in the sense of Liouville). We do so by generalizing the notion of tubes about curves to 3-dimensional manifolds, and using Jacobi fields we derive conditions under which the metric of the generalized tubular sub-manifold admits an ignorable coordinate. Some examples are given, demonstrating that these special surfaces can be quite elaborate and varied. | |
| dc.identifier.issn | 2409-8906 | |
| dc.identifier.uri | https://card-file.ontu.edu.ua/handle/123456789/6234 | |
| dc.identifier.uri | https://doi.org/10.15673/tmgc.v10i3-4.770 | |
| dc.source | Proceedings of the International Geometry Center | |
| dc.title | Integrable geodesic flows on tubular sub-manifolds |