İsmail GÖK, Çetin CAMCI, Hilmi HACISALİHOGLU H.

ON SURFACE THEORY IN 3-DIMENSIONAL ALMOST CONTACT METRIC MANIFOLD

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,

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Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics-Cover

ISSN: 1303-5991
Yayın Aralığı: Yılda 4 Sayı
Başlangıç: 1948
Yayıncı: Ankara Üniversitesi

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