Extended cross product in a 3-dimensional almost contact metric manifold with applications to curve theory

Camci, Cetin2025-01-272025-01-2720121300-00981303-6149https://doi.org/10.3906/mat-0910-103https://search.trdizin.gov.tr/tr/yayin/detay/130403https://hdl.handle.net/20.500.12428/20678In 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 [1] and Cho et al. [4], we observe that some theorems are incomplete and excessively generalized are thus their alternative proofs presented.eninfo:eu-repo/semantics/openAccessSasakian ManifoldLegendre curvecross productExtended cross product in a 3-dimensional almost contact metric manifold with applications to curve theoryArticle36230531810.3906/mat-0910-103Q3WOS:000304071700012130403