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Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2011 / Cilt: 60 - Sayı: 1

ON SURFACE THEORY IN 3-DIMENSIONAL ALMOST CONTACT METRIC MANIFOLD

İsmail GÖK, Çetin CAMCI, Hilmi HACISALİHOGLU H.

Sayfa
49–58
DOI
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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) .