### Linear Weingarten factorable surfaces in isotropic spaces

#### Abstract

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,c R. We obtain a complete classication 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.

#### Full Text:

PDFDOI: http://dx.doi.org/10.24193/subbmath.2017.2.11

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