On a type of α-cosymplectic manifolds

Year 2019, Volume: 68 Issue: 1, 852 - 861, 01.02.2019

Selahattin Beyendi , Gülhan Ayar , Nesip Aktan

https://doi.org/10.31801/cfsuasmas.482772

Cited By: 7

Abstract

The object of this paper is to study α-cosymplectic manifolds admitting a W₂-curvature tensor.

Keywords

Contact manifold, α-cosymplectic manifold, W₂ -curvature tensor

References

• Akyol, M. A., Conformal anti-invariant submersions from cosymplectic manifolds, Hacettepe Journal of Mathematics and Statistics, 46, (2017), 177-192.
• Beniamino, C.M., Antonio, D.N., Ivan, Y., A survey on cosymplectic geometry,arXiv: 1305.3704 v3.
• Blair, D.E., Riemannian geometry of contact and symplectic manifolds,Progress in Mathematics 203, Birkhauser, 2002.
• Blair, D.E., Contact Manifolds in Riemannian Geometry, Lecture Notes in Math. 509, Springer-Verlag, Berlin, 1976.
• De, U.C., Sarkar,A., On a type of P- Sasakian manifolds, Math. Reports, 11 (61), (2009), 139-144.
• Deszcz, R., Verstraelen, L., and Yaprak, S., Warped products realizing a certain condition of pseudosymmetry type imposed on the Weyl curvature tensor, Chin. J. Math. 22, 2, (1994), 139-157.
• Eisenhart, L.P., Riemannian Geometry, Princeton University Press, 1949.
• Kim, T.W., Pak, H.K., Canonical foliations of certain classes of almost contact metric structures, Acta Math, Sinica, Eng. Ser. Aug., 21, 4, (2005) 841-846.
• Matsumoto, K., Ianus, S., Mihai, I., On P-Sasakian manifolds which admit certain tensor fields, Publ. Math. Debrecen 33, (1986), 61-65.
• Öztürk H., Murathan C., Aktan N., Vanli A.T., Almost α-cosymplectic f-manifolds, Analele stııntıfıce ale unıversıtatıı 'AI.I Cuza' Dı ıaşı (S.N.) Matematica, Tomul LX, f.1. (2014).
• Olszak, Z., On almost cosymplectic manifolds,Kodai Math, 4, 2, (1981), 239- 250.
• Pokhariyal, G.P., Mishra, R.S., The curvature tensor and their relativistic significance, Yokohoma Math. J. 18, (1970), 105-108.
• Pokhariyal, G.P., Study of a new curvature tensor in a Sasakian manifold, Tensor N.S. 36, (1982) 222-225.
• Yano, K. and Kon, M., Structures on manifolds, Series in Pure Mathematics, 3. World Scientific, 1984.
• Yano, K., Sawaki, S., Riemannian manifolds admitting a conformal transfor- mation group, J. Diferential Geometry 2, (1968), 161-184.
• Yildiz A., De, U.C., On a type of Kenmotsu manifolds, Differential Geometry- Dynamical Systems,Vol. 12, (2010) 289-298.