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http://dx.doi.org/10.5831/HMJ.2018.40.2.293

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)
Publication Information
Honam Mathematical Journal / v.40, no.2, 2018 , pp. 293-304 More about this Journal
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.
Keywords
Almost cosymplectic manifolds; recurrent manifolds; almost cosymplectic (${\kappa},{\mu}$)-spaces;
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