Title of article :
ON THE PARALLEL SURFACES IN GALILEAN SPACE
Author/Authors :
Dede, Mustafa aKilis 7 Aralik University - Department of Mathematics, TURKEY , Ekici, Cumali Eskisehir Osmangazi University - Department of Mathematics and Computer Science, TURKEY , Coken, A. Ceylan Suleyman Demirel University - Department of Mathematics, Turkey
Abstract :
In this paper, first of all, the definition of parallel surfaces in Galilean space is given. Then, the relationship between the curvatures of the parallel surfaces in Galilean space is determined. Moreover, the first and second fundamental forms of parallel surfaces are found in Galilean space. Consequently, we obtained Gauss curvature and mean curvature of parallel surface in terms of those curvatures of the base surface.
Keywords :
Parallel surfaces , Surface curvature , Galilean space
Journal title :
Hacettepe Journal Of Mathematics and Statistics
Journal title :
Hacettepe Journal Of Mathematics and Statistics