On Riemannian manifolds endowed with a locally conformal cosymplectic structure
We deal with a locally conformal cosymplectic manifold M(φ,Ω,ξ,η,g) admitting a conformal contact quasi-torse-forming vector field T. The presymplectic 2-form Ω is a locally conformal cosymplectic 2-form. It is shown that T is a 3-exterior concurrent vector field. Infinitesimal transformations of th...
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Hindawi Limited
2005-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS.2005.3471 |
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doaj-3e159da4c3914511be2c3ffdd072dac62020-11-24T22:40:13ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252005-01-012005213471347810.1155/IJMMS.2005.3471On Riemannian manifolds endowed with a locally conformal cosymplectic structureIon Mihai0Radu Rosca1Valentin Ghişoiu2Faculty of Mathematics and Computer Science, University of Bucharest, 14 Academiei street, Bucharest 010014, Romania59 Avenue Emile Zola, Paris 75015, FranceFaculty of Mathematics and Computer Science, University of Bucharest, 14 Academiei street, Bucharest 010014, RomaniaWe deal with a locally conformal cosymplectic manifold M(φ,Ω,ξ,η,g) admitting a conformal contact quasi-torse-forming vector field T. The presymplectic 2-form Ω is a locally conformal cosymplectic 2-form. It is shown that T is a 3-exterior concurrent vector field. Infinitesimal transformations of the Lie algebra of ∧M are investigated. The Gauss map of the hypersurface Mξ normal to ξ is conformal and Mξ×Mξ is a Chen submanifold of M×M.http://dx.doi.org/10.1155/IJMMS.2005.3471 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Ion Mihai Radu Rosca Valentin Ghişoiu |
| spellingShingle |
Ion Mihai Radu Rosca Valentin Ghişoiu On Riemannian manifolds endowed with a locally conformal cosymplectic structure International Journal of Mathematics and Mathematical Sciences |
| author_facet |
Ion Mihai Radu Rosca Valentin Ghişoiu |
| author_sort |
Ion Mihai |
| title |
On Riemannian manifolds endowed with a locally conformal
cosymplectic structure |
| title_short |
On Riemannian manifolds endowed with a locally conformal
cosymplectic structure |
| title_full |
On Riemannian manifolds endowed with a locally conformal
cosymplectic structure |
| title_fullStr |
On Riemannian manifolds endowed with a locally conformal
cosymplectic structure |
| title_full_unstemmed |
On Riemannian manifolds endowed with a locally conformal
cosymplectic structure |
| title_sort |
on riemannian manifolds endowed with a locally conformal
cosymplectic structure |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
2005-01-01 |
| description |
We deal with a locally conformal cosymplectic manifold
M(φ,Ω,ξ,η,g) admitting a conformal contact quasi-torse-forming vector field T. The presymplectic 2-form Ω is a locally conformal cosymplectic 2-form. It is shown that T is a 3-exterior concurrent vector field. Infinitesimal transformations of the Lie algebra of ∧M are investigated. The Gauss map of the hypersurface Mξ normal to ξ is conformal and Mξ×Mξ is a Chen submanifold of M×M. |
| url |
http://dx.doi.org/10.1155/IJMMS.2005.3471 |
| work_keys_str_mv |
AT ionmihai onriemannianmanifoldsendowedwithalocallyconformalcosymplecticstructure AT radurosca onriemannianmanifoldsendowedwithalocallyconformalcosymplecticstructure AT valentinghisoiu onriemannianmanifoldsendowedwithalocallyconformalcosymplecticstructure |
| _version_ |
1725705446760644608 |