TY - JOUR ID - 131348 TI - A note on critical point equations on three-dimensional cosymplectic manifolds JO - Khayyam Journal of Mathematics JA - KJM LA - en SN - AU - Sedghi, Mohammad Amin AU - Ghahremani-Gol, Hajar AD - Department of Mathematics, Faculty of Science, Shahed University,Tehran, Iran Y1 - 2022 PY - 2022 VL - 8 IS - 1 SP - 1 EP - 6 KW - Critical point equations KW - Cosymplectic manifold KW - Scalar curvature DO - 10.22034/kjm.2020.243367.1960 N2 - The goal of this note is to investigate some properties of the critical point equations on the $3$-dimensional $f$- cosymplectic manifolds. We obtain some geometric equations on the $3$-dimensional $f$-cosymplectic manifolds which admit critical point equations. We give a relation between $f$ and $\tilde{f}$ for a CPE metric on the three dimensional $f$-cosymplectic manifold to be Einstein. Also we obtain an eigenvalue of the Laplace operator on the $3$-dimensional $f$-cosymplectic manifolds with CPE metrics. UR - https://www.kjm-math.org/article_131348.html L1 - https://www.kjm-math.org/article_131348_fe50e13cdcd9afd064670fbbe8c02e9a.pdf ER -