Geodesically compatible metrics. Existence of commutative conservation laws

dc.creator	Topalov, Peter
dc.date	2002-06-01
dc.date.accessioned	2019-05-03T12:37:00Z
dc.date.available	2019-05-03T12:37:00Z
dc.identifier	http://revistas.ufro.cl/ojs/index.php/cubo/article/view/1796
dc.identifier.uri	http://revistaschilenas.uchile.cl/handle/2250/84520
dc.description	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 Riemannian and Kählerian geometric satisfy such conditions. We apply our results for obtaining an infinite family (hierarchy) of completely integrable flows on the complex projective plane CPn.	en-US
dc.format	application/pdf
dc.language	eng
dc.publisher	Universidad de La Frontera. Temuco, Chile.	en-US
dc.relation	http://revistas.ufro.cl/ojs/index.php/cubo/article/view/1796/1646
dc.source	CUBO, A Mathematical Journal; Vol. 4 Núm. 2 (2002): CUBO, Matemática Educacional; 362-390	es-ES
dc.source	CUBO, A Mathematical Journal; Vol 4 No 2 (2002): CUBO, Matemática Educacional; 362-390	en-US
dc.source	0719-0646
dc.source	0716-7776
dc.title	Geodesically compatible metrics. Existence of commutative conservation laws	en-US
dc.type	info:eu-repo/semantics/article
dc.type	info:eu-repo/semantics/publishedVersion