n-Ricci solitons and gradient Ricci solitons on f-Kenmotsu manifolds

Автор: Siddiqi Mohd Danish

Журнал: Математическая физика и компьютерное моделирование @mpcm-jvolsu

Статья в выпуске: 4 т.23, 2020 года.

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The aim of the present research article is to discuss the 𝑓-Kenmotsu manifolds with respect to a semi-symmetric non-metric connection conceding an η-Ricci soliton and gradient Ricci soliton. Moreover, we prove that the second order symmetric tensor is a constant multiple of the metric tensor and parallel with respect to the semi-symmetric non-metric connection. In addition,we illustrate an example to exhibit that 3-dimensional 𝑓-Kenmotsu manifolds with a semi-symmetric non-metric connection concede an expanding η-Ricci soliton. Finally, it is shown that locally φ-symmetric 3-dimensional 𝑓-Kenmotsu manifolds with a semi-symmetric non-metric connection concede a gradient Ricci soliton.

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Η-ricci solitons, gradient ricci solitons, 𝑓kenmotsu manifold, semi-symmetric non metric connection, η-einstein manifold

Короткий адрес: https://sciup.org/149131527

IDR: 149131527 | DOI: 10.15688/mpcm.jvolsu.2020.4.3

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