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AIMS Mathematics

2020, Volume 5, Issue 6: 7711-7718. doi: 10.3934/math.2020493
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Research article

Invariant vector fields on contact metric manifolds under $\mathcal{D}$-homothetic deformation

  • 1.
    School of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, Henan, P. R. China
  • 2.
    School of Mathematical Sciences, Qufu Normal University, Qufu 273165, Shandong, P. R. Chin
  • Received: 28 August 2020 Accepted: 24 September 2020 Published: 09 October 2020

  • MSC : Primary 53C21; Secondary 53C24

  • In this paper, we study some vector fields on a contact metric manifold which are invariant under a $\mathcal{D}$-homothetic deformation.

    Citation: Yaning Wang, Hui Wu. Invariant vector fields on contact metric manifolds under $\mathcal{D}$-homothetic deformation[J]. AIMS Mathematics, 2020, 5(6): 7711-7718. doi: 10.3934/math.2020493

    Related Papers:

  • In this paper, we study some vector fields on a contact metric manifold which are invariant under a $\mathcal{D}$-homothetic deformation.


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    [12] H. G. Nagaraja, C. R. Premalatha, Da-homothetic deformation of K-contact manifolds, ISRN Geom., 2013 (2013), 392608.
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    [16] S. Tanno, Note on infinitesimal transformations over contact manifolds, Tohoku Math. J., 14 (1962), 416-430.
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    [18] K. Yano, M. Kon, Structures on manifolds, World Scientific, Singapore, 1984.
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  • © 2020 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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