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dc.contributor.author
Kocsard, Alejandro  
dc.contributor.author
Ovando, Gabriela Paola  
dc.contributor.author
Reggiani, Silvio Nicolás  
dc.date.available
2018-06-26T22:59:26Z  
dc.date.issued
2016-12  
dc.identifier.citation
Kocsard, Alejandro; Ovando, Gabriela Paola; Reggiani, Silvio Nicolás; On first integrals of the geodesic flow on Heisenberg nilmanifolds; Elsevier Science; Differential Geometry and its Applications; 49; 12-2016; 496-509  
dc.identifier.issn
0926-2245  
dc.identifier.uri
http://hdl.handle.net/11336/50215  
dc.description.abstract
In this paper we study the geodesic flow on nilmanifolds equipped with a left-invariant metric. We write the underlying definitions and find general formulas for the Poisson involution. As an application we develop the Heisenberg Lie group equipped with its canonical metric. We prove that a family of first integrals giving the complete integrability can be read off at the Lie algebra of the isometry group. We also explain the complete integrability for any invariant metric and on compact quotients.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Elsevier Science  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
First Integrals  
dc.subject
Geodesic Flow  
dc.subject
Heisenberg Lie Group  
dc.subject
Integrability  
dc.subject
Lie Groups  
dc.subject
Nilmanifolds  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
On first integrals of the geodesic flow on Heisenberg nilmanifolds  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2018-06-26T22:24:02Z  
dc.journal.volume
49  
dc.journal.pagination
496-509  
dc.journal.pais
Países Bajos  
dc.journal.ciudad
Amsterdam  
dc.description.fil
Fil: Kocsard, Alejandro. Universidade Federal Fluminense; Brasil  
dc.description.fil
Fil: Ovando, Gabriela Paola. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; Argentina. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura; Argentina  
dc.description.fil
Fil: Reggiani, Silvio Nicolás. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; Argentina. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura; Argentina  
dc.journal.title
Differential Geometry and its Applications  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0926224516300821  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.difgeo.2016.08.004  

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