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Constant curvature factorable surfaces in 3-dimensional isotropic space

Muhittin Evren Aydin
대한수학회 (The Korean Mathematical Society)|2018.01|대한수학회지 (Journal of the KMS)|제55권 제1호|pp. 59-71

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키워드

factorable surfaceisotropic spaceisotropic mean curvatureisotropic Gaussian curvature
주제분류수학

초록

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.

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.

참고문헌 (25)

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