on riemannian manifolds endowed with a locally conformal cosymplectic structure
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2005
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Abstract
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.
| Reference Key |
mihai2005internationalon
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| Authors | ;Ion Mihai;Radu Rosca;Valentin Ghişoiu |
| Journal | structural engineering and mechanics |
| Year | 2005 |
| DOI |
10.1155/IJMMS.2005.3471
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