Results 271 to 280 of about 12,200 (306)

Geodesic compatibility and integrability of geodesic flows

Journal of Mathematical Physics, 2003
We give a natural geometric condition called geodesic compatibility that implies the existence of integrals in involution of the geodesic flow of a pseudo-Riemannian metric. We prove that if two metrics satisfy the condition of geodesic compatibility then we can produce a hierarchy of metrics that also satisfy this condition. A lot of metrics studed in
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Hamilton–Jacobi formalism for geodesics and geodesic deviations

Journal of Mathematical Physics, 1989
A formalism of integrating the equations of geodesics and of geodesic deviation is examined based upon the Hamilton–Jacobi equation for geodesics. The latter equation has been extended to the case of geodesic deviation and theorems analogous to Jacobi’s theorem on the complete integral has been proved.
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Geodesic merging

Synthese, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Geodesic Revision

Journal of Logic and Computation, 2008
The purpose of this article is to introduce a class of distance-based iterated revision operators generated by minimizing the geodesic distance on a graph. Such operators correspond bijectively to metrics and have a simple finite presentation. As distance is generated by distinguishability, our framework is appropriate for modelling contexts where ...
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Geodesic subgraphs

Journal of Graph Theory, 1983
AbstractDefine a geodesic subgraph of a graph to be a subgraph H with the property that any geodesic of two points of H is in H. The trivial geodesic subgraphs are the complete graphs Kn' n ≧ 0, and G itself. We characterize all (finite, simple, connected) graphs with only the trivial geodesic subgraphs, and give an algorithm for their construction. We
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Geodesic Active Contours

International Journal of Computer Vision, 1997
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Vicent Caselles, Ron Kimmel, Guillermo Sapiro   +2 more
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Geodesic Loops

Journal of Lie Theory, 2000
In order to apply to the non-associative structures the fundamental ideas of Sophus Lie, namely to assign to any local Lie group \(G\) its tangent object in the identity element -- its Lie algebra -- which determines \(G\) in a unique way, the author studies here a very wide class of geodesic loops with respect to a linear connection the curvature of ...
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Geodesic Universal Molecules

Mathematics in Computer Science, 2016
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Bowers, John C., Streinu, Ileana
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Geodesics and Geodesic Curvature

2021
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11 Geodesics and Geodesic Curvature

2021
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