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On Riemannian manifolds endowed with a locally conformal cosymplectic structure

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  • Ion Mihai
  • Radu Rosca
  • Valentin Ghişoiu

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 .

Suggested Citation

  • Ion Mihai & Radu Rosca & Valentin Ghişoiu, 2005. "On Riemannian manifolds endowed with a locally conformal cosymplectic structure," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2005, pages 1-8, January.
    • Handle: RePEc:hin:jijmms:650875
    DOI: 10.1155/IJMMS.2005.3471
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