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\(\varphi \)-Trajectories in Kenmotsu manifolds

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Abstract

We study \(\varphi \)-trajectories in Kenmotsu manifolds. Parametric expression for \(\varphi \)-trajectories in the hyperbolic 3-space is given.

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Acknowledgements

The first named author is partially supported by JSPS Kakenhi 19K03461. The second named author was partially supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (2019R1l1A1A01043457). The authors would like to thank the referee for her/his careful reading of the manuscript and suggestions for improving this article, especially for the use of hypergeometric functions for the integration in main theorem (Remark 7).

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Authors and Affiliations

  1. Institute of Mathematics, University of Tsukuba, 1-1-1 Tennodai, Tsukuba, 305-8571, Japan

    Jun-ichi Inoguchi

  2. Institute of Basic Science, Chonnam National University, Gwangju, 61186, 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 Ji-Eun Lee.

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Dedicated to the memory of professor Oldřich Kowalski.

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Inoguchi, Ji., Lee, JE. \(\varphi \)-Trajectories in Kenmotsu manifolds. J. Geom. 113, 8 (2022). https://doi.org/10.1007/s00022-021-00624-0

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  • DOI: https://doi.org/10.1007/s00022-021-00624-0

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