A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is application/pdf
.
Linear Weingarten factorable surfaces in isotropic spaces
2017
Studia Universitatis Babes-Bolyai Matematica
In this paper, we deal with the linear Weingarten factorable surfaces in the isotropic 3-space I^3 satisfying the relation aK+bH=c, where K is the relative curvature and H the isotropic mean curvature, a,b,cR. We obtain a complete classification for such surfaces in I^3. As a further study, we classify all graph surfaces in I^3 satisfying the relation K=H^2, which is the equality case of the famous Euler inequality for surfaces in a Euclidean space.
doi:10.24193/subbmath.2017.2.11
fatcat:my3edzecsrcm5dhghnl6wzb7ta