Gok, IsmailCamci, CetinHacisalihoglu, H. Hilmi2025-01-272025-01-2720111303-5991https://doi.org/10.1501/Commua1_0000000668https://hdl.handle.net/20.500.12428/28585In this paper, we study surface theory in 3-dimensional almost contact metric manifolds by using cross product defined by Camci [6] . Camci also studied the theory of curves using the new cross product on this manifolds. In this study, we have defined unit normal vector field of any surface in R-3 (-3) and then, we investigate shape operator matrix of the surface. Morever, we calculate the formulas of Gaussian and mean curvatures of a surface in R-3 (-3).eninfo:eu-repo/semantics/openAccessSasakian manifoldcontact manifoldsurface theoryArticle601495810.1501/Commua1_0000000668N/AWOS:000441796400005