On Some Classes of Generalized Recurrent α-Cosymplectic Manifolds

Yıl 2022, Cilt: 14 Sayı: 1, 74 - 81, 30.06.2022

Halil İbrahim Yoldaş

https://doi.org/10.47000/tjmcs.969459

Öz

In this paper, we concentrate on hyper generalized $\varphi-$recurrent $\alpha-$cosymplectic manifolds and quasi generalized $\varphi-$recurrent $\alpha-$cosymplectic manifolds and obtain some significant characterizations which classify such manifolds.

Anahtar Kelimeler

$\alpha-$cosymplectic manifold, hyper generealized $\varphi-$recurrent, generalized Ricci recurrent

Kaynakça

• Amruthalakshmi, M.R., Prakasha, D.G.,Turki, N.B., Unal, I., $*$-Ricci tensor on $\alpha$-cosymplectic manifolds, Adv. Math. Phys., (2022), Article ID 7939654, $11$ pages.
• Blair, D.E., Contact Manifolds in Riemannian Geometry, Lecture Notes in Mathematics, Springer-Verlag, Berlin, 1976.
• De, U.C., Guha, N., Kamilya, D., On generalized Ricci-recurrent manifolds, Tensor N.S., 56(1995), 312-317.
• Goldberg, S.I., Yano, K., Integrability of almost cosymplectic structures, Pasific J. Math., 31(1969), 373-382.
• Janssens , D., Vanhecke, L., Almost contact structures and curvature tensors, Kodai Math. J., 4(1981), 1-27.
• Khatri, M., Singh, J.P., On a class of generalized recurrent $(k,\mu)$-contact metric manifolds, Commun. Korean Math. Soc., 35(4)(2020), 1283-1297.
• Kim, T.W., Pak, H.K., Canonical foliations of certain classes of almost contact metric structures, Acta Math. Sin. (Engl. Ser.), 21(4)(2005), 841-846.
• Küpeli Erken, İ., On a classification of almost $\alpha$-cosymplectic manifolds, Khayyam. J. Math., 5(1)(2019), 1-10.
• Olszak, Z., Locally conformal almost cosymplectic manifolds, Coll. Math., 57(1989), 73-87.
• Öztürk, H., On almost $\alpha$-cosymplectic manifolds with some nullity distributions, Honam Math. J., 41(2)(2019), 269-284.
• Patterson, E.M., Some theorems on Ricci-recurrent spaces, J. Lond. Math. Soc., 27(1952), 287-295.
• Shaikh, A.A., Patra, A., On a generalized class of recurrent manifolds, Arch. Math. (BRNO), 46(2010), 71-78.
• Shaikh, A.A., Roy, I., On quasi-generalized recurrent manifolds, Math. Pannonica., 21(2)(2010), 251-263.
• Venkatesha, V., Kumara, H.A., . Naik, D.M., On a class of generalized $\varphi$-recurrent Sasakian manifold, J. Egyptian Math. Soc., 27(1)(2019).
• Yoldaş, H.İ., Some results on $\alpha$-cosymplectic manifolds, Bull. Transilv. Univ. Braşov, Ser. III, Math. Comput. Sci., 1(63)no. 2(2021), 115-128.
• Yoldaş, H.İ., Eken Meriç, Ş., Yaşar, E., Some characterizations of $\alpha$-cosymplectic manifolds admitting Yamabe solitons, Palest. J. Math., 10(1)(2021), 234-241.