Title of article :
BOUR’S THEOREM ON THE GAUSS MAP IN 3-EUCLIDEAN SPACE
Author/Authors :
Guler, Erhan Ankara Üniversitesi - Faculty of Sciences - Department of Mathematics, Turkey , Yaylı, Yusuf Ankara Üniversitesi - Faculty of Sciences - Department of Mathematics, Turkey , Hacısalihoglu, H. Hilmi Ankara Üniversitesi - Faculty of Sciences - Department of Mathematics, Turkey
Abstract :
In this paper some relations are established between the Laplace-Beltrami operator and the curvatures of helicoidal surfaces in 3-Euclidean space. In addition, Bour’s theorem on the Gauss map, and some special examples are given.
Keywords :
Rotational surface , Helicoidal surface , Gauss map , Laplace , Beltrami operator , Minimal harmonic surface
Journal title :
Hacettepe Journal Of Mathematics and Statistics
Journal title :
Hacettepe Journal Of Mathematics and Statistics
