| 词汇 | geodesic-flow |
| 释义 | BETA geodesic flowcollocation in Englishmeanings of geodesicand flowThese words are often used together. Click on the links below to explore the meanings. geodesic adjective uk /ˌdʒiː.əˈdes.ɪk/ us /ˌdʒiː.əˈdez.ɪk/ relating to the shortest possible line between two points on a sphere or other ... See more at geodesic flow noun uk /fləʊ/ us /floʊ/ the movement of something in ... See more at flow Examples of geodesic flowgeodesic flow The search for tractable models led to the study of the free motion of a particle (the geodesicflow) on surfaces of constant negative curvature. Since expansive geodesic flows of compact surfaces have no conjugate points, the accessibility property holds for every two-dimensional expansive geodesicflow. We show that the metric of non-positively curved graph manifolds is determined by its geodesicflow. Quasiconformality in the geodesicflow of negatively curved manifolds. The geodesicflow for this perturbed metric will have positive topological entropy because it contains a horseshoe. Curvature bounds for the entropy of the geodesicflow on a surface. Among his famous successes is the geodesicflow on an ellipsoid, which he found to be integrable. The geodesicflow of a nonpositively curved graph manifold. However, if the flat capped torus is not finite horizon, then its geodesicflow becomes non-ergodic by a small perturbation outside the caps. This result can also be stated in terms of the geodesicflow on the unit tangent bundle of a manifold with negative sectional curvature. We show that there exists a local product structure in the unit tangent bundle of the manifold which is invariant under the geodesicflow. This clearly implies the expansiveness 3 of the geodesicflow. Every measured lamination has zero entropy with respect to the geodesicflow. These analogies have caused some people to speculate that the geodesicflow on a positively curved manifold may not be topologically transitive. So if t is contact, it is finitely covered by the geodesicflow of a locally symmetric space of rank one. These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors. |
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