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Cheng-yau operator and gauss map of rotational hypersurfaces in the four dimensional euclidean space
(Manisa Celal Bayar University, 2018)We consider rotational hypersurface in the four dimensional Euclidean space 4E. We study the Gauss map G of rotational hypersurface in 4E with respect to the so-called Cheng-Yau operator 1L acting on the functions ... -
Helicoidal hypersurfaces in the four dimensional minkowski space
(Manisa Celal Bayar University, 2018)Helicoidal hypersurfaces in the four dimensional Minkowski space are defined. There are three types, depending on the axis of rotation. Equations for the Gaussian and mean curvature are derived and many ... -
Möbius-type hypersurface in 4-space
(Manisa Celal Bayar University, 2018)Möbius-type hypersurface in the four dimensional Euclidean space is defined. Equations for the Gaussian and mean curvature are derived and some examples of hypersurface are given.