The Properties of Projective, Concircular and Conharmonic Curvature Tensor Fields on a Complex Sasakian Manifold

Year 2022, , 166 - 173, 30.06.2022

Aysel Turgut Vanlı

https://doi.org/10.47000/tjmcs.1010770

Abstract

In this article, the properties of projective, concircular and conharmonic curvature tensor fields on a complex Sasakian manifold are investigated.

Keywords

Complex Sasakian manifolds, projective, concircular, conharmonic

Supporting Institution

Yok

Project Number

-

Thanks

-

References

• Blair, D.E., Riemannian Geometry of Contact and Symplectic Manifolds, 2nd edn., Birkh\"{a}user, Boston, 2010.
• Fetcu, D., Harmonic maps between complex Sasakian manifolds, Rend. Semin. Mat. Univ. Politec. Torino, 64(3)(2006), 319-329.
• Foreman, B., Complex contact manifolds and hyperk\"{a}hler geometry, Kodai Math. J., 23(1)(2000), 12-26.
• Ishihara, S., Konishi, M., Complex almost contact manifolds, Kodai Math. J., 3(1980), 385-396.
• Ishihara, S., Konishi, M., Complex almost contact structures in a complex contact manifold, Kodai Math. J., 5(1982), 30-37.
• Kobayashi, S., Remarks on complex contact manifolds, Proc. Amer. Math. Soc., 10(1959), 164-167.
• Korkmaz, B., Normality of complex contact manifolds, Rocky Mountain J. Math., 30(2000), 1343-1380.
• Turgut Vanli, A., Unal, I., Ricci semi-symmetric normal complex contact metric manifolds, Italian Journal of Pure and Applied Mathematics, 43(2020), 477-491.
• Turgut Vanli, A., Unal, I., Avcu, K., On complex Sasakian manifold, Afrika Matematika, 32(2021), 507-516.