In this work, we define a new cross product in 3-dimensional almost contact metric manifold and we study the theory of curves using this new cross product in this manifold. Besides, in the works of Baikousis, Blair  and Cho et al. , we observe that some theorems are incomplete and excessively generalized are thus their alternative proofs presented.
Sasakian Manifold, Legendre curve, cross product
"Extended cross product in a 3-dimensional almost contact metric manifold with applications to curve theory,"
Turkish Journal of Mathematics: Vol. 36:
2, Article 12.
Available at: https://journals.tubitak.gov.tr/math/vol36/iss2/12