- Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
- Vol: 60 Issue: 1
- ON SURFACE THEORY IN 3-DIMENSIONAL ALMOST CONTACT METRIC MANIFOLD
ON SURFACE THEORY IN 3-DIMENSIONAL ALMOST CONTACT METRIC MANIFOLD
Authors : Ismail Gök, Çetin Camci, Hilmi Hacisalihoglu H.
Pages : 49-58
Doi:10.1501/Commua1_0000000668
View : 10 | Download : 6
Publication Date : 2011-02-01
Article Type : Research
Abstract :In this paper, we study surface theory in 3-dimensional almost contact metric manifolds by using cross product defined by Camcı [6] . Camcı 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 R3 (−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 R3 (−3) .Keywords : Sasakian manifold, contact manifold, surface theory