Hexagonal Geodesic 3-Webs

dc.contributorUniversidade Estadual Paulista (UNESP)
dc.date.accessioned2022-04-28T17:22:57Z
dc.date.accessioned2022-12-20T00:39:41Z
dc.date.available2022-04-28T17:22:57Z
dc.date.available2022-12-20T00:39:41Z
dc.date.created2022-04-28T17:22:57Z
dc.date.issued2021-08-01
dc.identifierInternational Mathematics Research Notices. Oxford: Oxford Univ Press, v. 2021, n. 15, p. 11585-11617, 2021.
dc.identifier1073-7928
dc.identifierhttp://hdl.handle.net/11449/218762
dc.identifier10.1093/imrn/rnz172
dc.identifierWOS:000739840200012
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/5398896
dc.description.abstractWe prove that a surface carries a hexagonal 3-web of geodesics if and only if the geodesic flow on the surface admits a cubic 1st integral and show that the system of partial differential equations, governing metrics on such surfaces, is integrable by generalized hodograph transform method. We present some new local examples of such metrics, discuss known ones, and establish an analogue of the celebrated Graf and Sauer theorem for Darboux superintegrable metrics.
dc.languageeng
dc.publisherOxford Univ Press
dc.relationInternational Mathematics Research Notices
dc.sourceWeb of Science
dc.titleHexagonal Geodesic 3-Webs
dc.typeArtículos de revistas


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