Research article

On constructing almost complex Norden metric structures

  • Received: 28 May 2022 Revised: 28 July 2022 Accepted: 28 July 2022 Published: 05 August 2022
  • MSC : 53B30, 53B35, 53D15

  • For a given almost contact Norden metric structure on a smooth manifold $ M $, one can obtain an almost complex Norden metric structure on $ M\times\mathbb{R} $. In this work, we study this construction in details and give the relations between the classes of these structures. Furthermore, we give examples of almost complex Norden metric structures of which the existence are guaranteed by the results of the paper.

    Citation: Mehmet Solgun. On constructing almost complex Norden metric structures[J]. AIMS Mathematics, 2022, 7(10): 17942-17953. doi: 10.3934/math.2022988

    Related Papers:

  • For a given almost contact Norden metric structure on a smooth manifold $ M $, one can obtain an almost complex Norden metric structure on $ M\times\mathbb{R} $. In this work, we study this construction in details and give the relations between the classes of these structures. Furthermore, we give examples of almost complex Norden metric structures of which the existence are guaranteed by the results of the paper.



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    [9] M. Solgun, Y. Karababa, A natural way to construct an almost complex B-metric structure, Math. Meth. Appl. Sci., 44 (2021), 7607–7613. https://doi.org/10.1002/mma.6430 doi: 10.1002/mma.6430
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