On the Existence of a Codimension 1 Completely Integrable Totally Geodesic Distribution on a Pseudo-Riemannian Heisenberg Group

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dc.contributor.authorBatat, W.
dc.contributor.authorRahmani, S.
dc.date.accessioned2019-02-08T20:30:32Z
dc.date.available2019-02-08T20:30:32Z
dc.date.issued2010
dc.description.abstractIn this note we prove that the Heisenberg group with a left-invariant pseudo-Riemannian metric admits a completely integrable totally geodesic distribution of codimension 1. This is on the contrary to the Riemannian case, as it was proved by T. Hangan.uk_UA
dc.description.sponsorshipThe authors wish to express their gratitude toward the referees for their valuable remarks and also would like to thank Professor Jos´e Antonio Oubi˜na for his fruitful comments on the revised version of this paper. The first author was supported by ENSET d’Oran and the second author is indebted to Doctoral School of Dynamical Systems and Geometry (U.S.T. Oran) for its financial support during the elaboration of this work.uk_UA
dc.identifier.citationOn the Existence of a Codimension 1 Completely Integrable Totally Geodesic Distribution on a Pseudo-Riemannian Heisenberg Group / W. Batat, S. Rahmani // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 9 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 58A30; 53C15; 53C30
dc.identifier.otherDOI:10.3842/SIGMA.2010.021
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/146314
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleOn the Existence of a Codimension 1 Completely Integrable Totally Geodesic Distribution on a Pseudo-Riemannian Heisenberg Groupuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2010, том 6, випуск за цей рік