<p>We study some types of Ricci pseudosymmetric <i>α</i>-cosymplectic (<i>k, μ</i><i>, </i><i>ν</i>) -spaces whose metric admits Ricci solitons. We present some results obtained for Ricci solitons on Ricci pseudosymmetric, projective Ricci pseudosymmetric, concircular Ricci pseudosymmetric, and <i>W</i><sub>1</sub> -Ricci pseudosymmetric spaces. Some results on almost <i>α</i>-cosymplectic (<i>k, μ</i><i>, </i><i>ν</i>) -spaces are also presented. Finally, we give an example for the 5-dimensional case.</p>

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Ricci-Pseudosymmetric Almost α-Cosymplectic (K, μ, ν)-Spaces Admitting Ricci Solitons

  • Pakize Uygun,
  • Mehmet Atçeken,
  • Tugba Mert

摘要

We study some types of Ricci pseudosymmetric α-cosymplectic (k, μ, ν) -spaces whose metric admits Ricci solitons. We present some results obtained for Ricci solitons on Ricci pseudosymmetric, projective Ricci pseudosymmetric, concircular Ricci pseudosymmetric, and W1 -Ricci pseudosymmetric spaces. Some results on almost α-cosymplectic (k, μ, ν) -spaces are also presented. Finally, we give an example for the 5-dimensional case.