Certain curves on some classes of three-dimensional almost contact metric manifolds

• Avijit Sarkar ^[1] ; Ashis Mondal ^[1]
  1. [1] University of Kalyani

     University of Kalyani

     India

     
• Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 58, Nº. 1, 2017, págs. 107-125
• Idioma: inglés
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• Resumen

  • The object of the present paper is to characterize three-dimensional trans-Sasakian generalized Sasakian space forms admitting biharmonic almost contact curves with respect to generalized Tanaka Webster Okumura (gTWO) connections and to give illustrative examples. The mean curvature vector of almost contact curves has been analyzed on trans-Sasakian manifolds with gTWO connections. Some properties of slant curves on the same manifolds have been established. Finally curvature and torsion, with respect to gTWO connections, of C-parallel and C-proper slant curves in three-dimensional almost contact metric manifolds have been deduced.