Integrable geodesic flows on tubular sub-manifolds
<p>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 tubu...
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| Format: | Article |
| Language: | Russian |
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Odessa National Academy of Food Technologies
2018-01-01
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| Series: | Pracì Mìžnarodnogo Geometričnogo Centru |
| Subjects: | |
| Online Access: | http://journals.gsjp.eu/index.php/geometry/article/view/770 |