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arXiv · 1802.00240

Affine factorable surfaces in isotropic spaces

Muhittin Evren Aydin·Ayla Erdur·Mahmut Ergut
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Abstract

In this paper, we study the problem of finding the affine factorable surfaces in a 3-dimensional isotropic space with prescribed Gaussian (K) and mean (H) curvature. Because the absolute figure two different types of these surfaces appear by permutation of coordinates. We firstly classify the affine factorable surfaces of type 1 with K,H constants. Afterwards, we provide the affine factorable surfaces of type 2 with K=const. and H=0. In addition, in a particular case, the affine factorable surfaces of type 2 with H=const. were obtained.

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Muhittin Evren Aydin, Ayla Erdur, Mahmut Ergut. 2018-02-01. Affine factorable surfaces in isotropic spaces. https://arxiv.org/abs/1802.00240

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