International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 21, Pages 3471-3478
doi:10.1155/IJMMS.2005.3471
On Riemannian manifolds endowed with a locally conformal cosymplectic structure
Ion Mihai1
, Radu Rosca2
and Valentin Ghişoiu1
1Faculty of Mathematics and Computer Science, University of Bucharest, 14 Academiei street, Bucharest 010014, Romania
259 Avenue Emile Zola, Paris 75015, France
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.