Topalov, P (2002). Geodesically compatible metrics. Existence of commutative conservation laws. Cubo Matemática Educacional, 4(2):371-399.
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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. We apply our results for obtaining an infinite family (hierarchy) of completely integrable flows on the complex projective plane CPn.
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|Item Type:||Journal Article, refereed, original work|
|Communities & Collections:||07 Faculty of Science > Institute of Mathematics|
|Deposited On:||29 Nov 2010 16:27|
|Last Modified:||23 Nov 2012 13:58|
|Publisher:||Universidad de la Frontera, Chile|
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