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http://dx.doi.org/10.4134/JKMS.j160767

CONSTANT CURVATURE FACTORABLE SURFACES IN 3-DIMENSIONAL ISOTROPIC SPACE  

Aydin, Muhittin Evren (Department of Mathematics Faculty of Science Firat University)
Publication Information
Journal of the Korean Mathematical Society / v.55, no.1, 2018 , pp. 59-71 More about this Journal
Abstract
In the present paper, we study and classify factorable surfaces in a 3-dimensional isotropic space with constant isotropic Gaussian (K) and mean curvature (H). We provide a non-existence result relating to such surfaces satisfying ${\frac{H}{K}}=const$. Several examples are also illustrated.
Keywords
isotropic space; factorable surface; isotropic mean curvature; isotropic Gaussian curvature;
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