A Note on the First Integrals of Vector Fields with Integrating Factors and Normalizers

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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2012, том 8
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dc.contributor.author	Llibre, J.
dc.contributor.author	Peralta-Salas, D.
dc.date.accessioned	2019-02-18T12:15:20Z
dc.date.available	2019-02-18T12:15:20Z
dc.date.issued	2012
dc.identifier.citation	A Note on the First Integrals of Vector Fields with Integrating Factors and Normalizers / J. Llibre, D. Peralta-Salas // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 21 назв. — англ.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 34C05; 34A34; 34C14
dc.identifier.other	DOI: http://dx.doi.org/10.3842/SIGMA.2012.035
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/148427
dc.description.abstract	We prove a sufficient condition for the existence of explicit first integrals for vector fields which admit an integrating factor. This theorem recovers and extends previous results in the literature on the integrability of vector fields which are volume preserving and possess nontrivial normalizers. Our approach is geometric and coordinate-free and hence it works on any smooth orientable manifold.	uk_UA
dc.description.sponsorship	The authors acknowledge three referees for corrections and comments which have helped to improve the presentation of this paper. J.Ll. is partially supported by a MICINN/FEDER grant no. MTM2008–03437, by an AGAUR grant no. 2009SGR-410 and by ICREA Academia. D.P.-S. is supported by a MICINN grant no. MTM2010–21186-C02-01, by the ICMAT Severo Ochoa grant no. SEV-2011-0087 and by the Ram´on y Cajal program.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	A Note on the First Integrals of Vector Fields with Integrating Factors and Normalizers	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA