Some characterizations on indefinite space forms admitting almost contact structures

BE Acet, M Gülbahar, E Kılıç – Asian-European Journal of Mathematics, 2022

In this paper, the projective curvature tensor field of a generalized indefinite Sasakian space form is investigated. Some results dealing with projectively semi- symmetric and ϕ-projectively semi-symmetric generalized indefinite Sasakian space forms are obtained. Furthermore, biharmonic Legendre Frenet curves are discussed on these manifolds.

https://www.worldscientific.com/doi/abs/10.1142/S1793557123500869