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单词 geodesic flow
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Examples ofgeodesic flow

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The search for tractable models led to the study of the free motion of a particle (thegeodesicflow) on surfaces of constant negative curvature.
From theCambridge English Corpus
Since expansive geodesic flows of compact surfaces have no conjugate points, the accessibility property holds for every two-dimensional expansivegeodesicflow.
From theCambridge English Corpus
We show that the metric of non-positively curved graph manifolds is determined by itsgeodesicflow.
From theCambridge English Corpus
Quasiconformality in thegeodesicflowof negatively curved manifolds.
From theCambridge English Corpus
Thegeodesicflowfor this perturbed metric will have positive topological entropy because it contains a horseshoe.
From theCambridge English Corpus
Curvature bounds for the entropy of thegeodesicflowon a surface.
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Among his famous successes is thegeodesicflowon an ellipsoid, which he found to be integrable.
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Thegeodesicflowof a nonpositively curved graph manifold.
From theCambridge English Corpus
However, if the flat capped torus is not finite horizon, then itsgeodesicflowbecomes non-ergodic by a small perturbation outside the caps.
From theCambridge English Corpus
This result can also be stated in terms of thegeodesicflowon the unit tangent bundle of a manifold with negative sectional curvature.
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We show that there exists a local product structure in the unit tangent bundle of the manifold which is invariant under thegeodesicflow.
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This clearly implies the expansiveness 3 of thegeodesicflow.
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Every measured lamination has zero entropy with respect to thegeodesicflow.
From theCambridge English Corpus
These analogies have caused some people to speculate that thegeodesicflowon a positively curved manifold may not be topologically transitive.
From theCambridge English Corpus
So if t is contact, it is finitely covered by thegeodesicflowof a locally symmetric space of rank one.
From theCambridge English Corpus
Invariant measures of thegeodesicflowand measures at infinity on negatively curved manifolds.
From theCambridge English Corpus
Commuting integrals of thegeodesicfloware just lifts of commuting functions in the space of geodesics.
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Theorem 2.1 implies that under condition (1.2) the topological entropy of thegeodesicflowis positive.
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Recall that is saturated by weak stable leaves of thegeodesicflow.
From theCambridge English Corpus

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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更新时间:2024/12/28 3:33:52