Surfaces of Constant Curvature in the Pseudo-Galilean Space (CROSBI ID 190514)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Milin-Šipuš, Željka ; Divjak, Blaženka
engleski
Surfaces of Constant Curvature in the Pseudo-Galilean Space
We develop the local theory of surfaces immersed in the pseudo-Galilean space, a special type of Cayley-Klein spaces. We define principal, Gaussian, and mean curvatures. By this, the general setting for study of surfaces of constant curvature in the pseudo-Galilean space is provided. We describe surfaces of revolution of constant curvature. We introduce special local coordinates for surfaces of constant curvature, so-called the Tchebyshev coordinates, and show that the angle between parametric curves satisfies the Klein-Gordon partial differential equation. We determine the Tchebyshev coordinates for surfaces of revolution and construct a surface with constant curvature from a particular solution of the Klein-Gordon equation.
pseudo-Galilean space ; Galilean space ; Gaussian curvature ; surface of constant curvature ; Klein-Gordon equation
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Podaci o izdanju
2012
2012.
1-28
objavljeno
0161-1712
10.1155/2012/375264