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arXiv · 1612.02458

Constant curvature factorable surfaces in 3-dimensional isotropic space

Muhittin Evren Aydin
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Abstract

In this paper, we study factorable surfaces in a 3-dimensional isotropic space. We classify such surfaces with constant isotropic Gaussian (K) and mean curvature (H). We provide a non-existence result related with the surfaces satisfying H/K=const. Several examples are also illustrated.

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Muhittin Evren Aydin. 2016-12-06. Constant curvature factorable surfaces in 3-dimensional isotropic space. https://arxiv.org/abs/1612.02458

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