engleski

On a certain class of Weingarten surfaces in SOL space

In this paper a certain class of Weingarten surfaces in SOL geometry is considered. The theorem that the only non-planar ruled Weingarten surface composed from vertical geodesics are surfaces r(u, v)=(a e^{; ; ku}; ; , b e^{; ; -ku}; ; , v) is proved.

Sol geometry ; Weingarten surface ; ruled surface

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