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arXiv · 1604.01522

Linear Weingraten factorable surfaces in isotropic spaces

Muhittin Evren Aydin·Alper Osman Ogrenmis
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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,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.

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Muhittin Evren Aydin, Alper Osman Ogrenmis. 2016-04-06. Linear Weingraten factorable surfaces in isotropic spaces. https://doi.org/10.24193/subbmath.2017.2.11

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