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

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dc.contributor.author Batat, W.
dc.contributor.author Rahmani, S.
dc.date.accessioned 2019-02-08T20:30:32Z
dc.date.available 2019-02-08T20:30:32Z
dc.date.issued 2010
dc.identifier.citation On 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.issn 1815-0659
dc.identifier.other 2010 Mathematics Subject Classification: 58A30; 53C15; 53C30
dc.identifier.other DOI:10.3842/SIGMA.2010.021
dc.identifier.uri http://dspace.nbuv.gov.ua/handle/123456789/146314
dc.description.abstract In 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.sponsorship The 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.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 On the Existence of a Codimension 1 Completely Integrable Totally Geodesic Distribution on a Pseudo-Riemannian Heisenberg Group uk_UA
dc.type Article uk_UA
dc.status published earlier uk_UA


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