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On C-parallel legendre curves in non-Sasakian contact metric manifolds

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In (2n+1)-dimensional non-Sasakian contact metric manifolds, we consider Legendre curves whose mean curvature vector fields are C-parallel or C-proper in the tangent or normal bundles. We obtain the curvature characterizations… Click to show full abstract

In (2n+1)-dimensional non-Sasakian contact metric manifolds, we consider Legendre curves whose mean curvature vector fields are C-parallel or C-proper in the tangent or normal bundles. We obtain the curvature characterizations of these curves. Moreover, we give some examples of these kinds of curves which satisfy the conditions of our results.

Keywords: metric manifolds; sasakian contact; non sasakian; contact metric; legendre curves

Journal Title: Filomat
Year Published: 2019

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