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Pointwise Slant Curves in Quasi-paraSasakian 3-Manifolds

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Abstract

This paper is devoted to the study of pointwise slant Frenet curves in a quasi-paraSasakian metric 3-manifold. We give a characterization result for the existence of such curves and determine their curvature and torsion in this class of manifold. Further, the characterizations for these curves having harmonic and \(\mathbf {C}\)-parallel mean curvature vector field are derived.

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Acknowledgements

The authors are grateful to the anonymous reviewer for careful reading of the manuscript and valuable suggestions that improved the presentation of the work.

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  1. Srinivasa Ramanujan Department of Mathematics, Central University of Himachal Pradesh, Dharamshala, Himachal Pradesh, 176215, India

    K. Sood, K. Srivastava & S. K. Srivastava

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  1. K. Sood
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  2. K. Srivastava
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  3. S. K. Srivastava
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Correspondence to S. K. Srivastava.

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K. Sood: supported by DST, Ministry of Science and Technology, India through JRF [IF160490] DST/INSPIRE/03/2015/005481. K. Srivastava: supported by DST, Ministry of Science and Technology, India through WOS-A vide their File no. SR/WOS-A/PM-20/2018.

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Sood, K., Srivastava, K. & Srivastava, S.K. Pointwise Slant Curves in Quasi-paraSasakian 3-Manifolds. Mediterr. J. Math. 17, 114 (2020). https://doi.org/10.1007/s00009-020-01554-y

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  • DOI: https://doi.org/10.1007/s00009-020-01554-y

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