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On the curvature functions of tube-like surfaces in the Galilean space

Hossam Eldeen S. Abdel-Aziz|Adel H. Sorour
대한수학회 (The Korean Mathematical Society)|2021.07|대한수학회논문집 (Communications of the KMS)|제36권 제3호|pp. 609-622|DOI 10.4134/CKMS.c200272

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키워드

mean curvatureTube-like surfaceGaussian curvatureWeingarten surfacesGalilean 3-space
주제분류수학

초록

In the Galilean space $G_{3}$, we study a special kind of tube surfaces, called tube-like surfaces. They are defined by sweeping a space curve along another central space curve. In this setting, we investigate some equations in terms of Gaussian and mean curvatures, showing some relevant theorems. Our theoretical results are illustrated with some plotted examples.

Abstract

In the Galilean space $G_{3}$, we study a special kind of tube surfaces, called tube-like surfaces. They are defined by sweeping a space curve along another central space curve. In this setting, we investigate some equations in terms of Gaussian and mean curvatures, showing some relevant theorems. Our theoretical results are illustrated with some plotted examples.

참고문헌 (18)

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