integrable geodesic flows on tubular sub-manifolds
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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.
| Reference Key |
waters2018pracintegrable
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| Authors | ;Thomas Waters |
| Journal | international journal of pharmacy and pharmaceutical sciences |
| Year | 2018 |
| DOI |
10.15673/tmgc.v10i3-4.770
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