Honam Mathematical Journal (호남수학학술지)

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A CLASS OF 𝜑-RECURRENT ALMOST COSYMPLECTIC SPACE

  • Balkan, Yavuz Selim (Department of Mathematics, Faculty of Art and Sciences, Duzce University) ;
  • Uddin, Siraj (Department of Mathematics, Faculty of Science, King Abdulaziz University) ;
  • Alkhaldi, Ali H. (Department of Mathematics, College of Science, King Khalid University)
  • Received : 2018.01.13
  • Accepted : 2018.04.16
  • Published : 2018.06.25
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Abstract

In this paper, we study ${\varphi}$-recurrent almost cosymplectic (${\kappa},{\mu}$)-space and prove that it is an ${\eta}$-Einstein manifold with constant coefficients. Next, we show that a three-dimensional locally ${\varphi}$-recurrent almost cosymplectic (${\kappa},{\mu}$)-space is the space of constant curvature.

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References

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