On Riemannian manifolds endowed with a locally conformal cosymplectic structure

Ion Mihai, Radu Rosca and Valentin Ghişoiu

International Journal of Mathematics and Mathematical Sciences, 2005, vol. 2005, 1-8

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 M ξ normal to ξ is conformal and M ξ × M ξ is a Chen submanifold of M × M .

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:650875

DOI: 10.1155/IJMMS.2005.3471

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