Linear Weingarten factorable surfaces in isotropic spaces
DOI:
https://doi.org/10.24193/subbmath.2017.2.11Keywords:
Isotropic space, factorable surface, Weingarten surface, Euler inequality.Abstract
In this paper, we deal with a certain factorable surface in the isotropic 3-space satisfying aK +bH = c, where K is the relative curvature, H the isotropic mean curvature and a, b, c ∈ R. We obtain a complete classification for such surfaces. As a further study, we prove that a certain graph surface with K = H2 is either a non-isotropic plane or a parabolic sphere.
Mathematics Subject Classification (2010): 53A35, 53A40, 53B25.
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