Article

Journal of Geometry

, Volume 103, Issue 3, pp 457-474

Almost contact curves in normal almost contact 3-manifolds

  • Jun-ichi InoguchiAffiliated withDepartment of Mathematical Sciences, Faculty of Science Email author 
  • , Ji-Eun LeeAffiliated withInstitute of Mathematical Sciences, Ewha Womans University

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Abstract

We study almost contact curves in normal almost contact metric 3-manifolds satisfying \({\triangle{H} = \lambda{H}}\) or \({\triangle^\bot {H} = \lambda{H}}\) . Moreover we study almost contact curve of type AW(k) in normal almost contact metric 3-manifolds. We give natural equations of planar biminimal curves.

Mathematics Subject Classification (2010)

58E20 53C25

Keywords

Almost contact curves mean curvature vector fields curves of AW-type biminimal curves