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On slant curves in normal almost contact metric 3-manifolds

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Abstract

We study slant curves in almost contact metric 3-manifolds equipped with canonical connection \(\widetilde{\nabla }\). Moreover, we study slant curves in almost contact metric 3-manifolds whose mean curvature is proper with respect to the canonical connection, that is, \(\widetilde{\Delta }\widetilde{H}=\lambda \widetilde{H}\) or proper in the normal bundle, \(\widetilde{\Delta }^\perp \widetilde{H}=\lambda \widetilde{H}\).

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Acknowledgments

The first named author was partially supported by Kakenhi 24540063. Part of this work was carried out when both of authors visited Chonnnam National University in January, 2013. The authors would like to express their sincere thanks to professor Jong Taek Cho. The second named author was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (2013R1A1A3006596).

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Authors and Affiliations

  1. Department of Mathematical Sciences, Faculty of Science, Kojirakawa-machi 1-4-12, Yamagata, 990-8560, Japan

    Jun-Ichi Inoguchi

  2. Institute of Mathematical Sciences, Ewha Womans University, Seoul, 120-750, Korea

    Ji-Eun Lee

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  1. Jun-Ichi Inoguchi
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  2. Ji-Eun Lee
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Correspondence to Jun-Ichi Inoguchi.

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Inoguchi, JI., Lee, JE. On slant curves in normal almost contact metric 3-manifolds. Beitr Algebra Geom 55, 603–620 (2014). https://doi.org/10.1007/s13366-013-0175-1

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  • DOI: https://doi.org/10.1007/s13366-013-0175-1

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