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Dual surfaces defined by $z=f(u)+g(v)$ in simply isotropic 3-space $\mathbb{I}_{3}^{1}$

Ali Cakmak|Murat Kemal Karacan|Sezai Kiziltug
대한수학회 (The Korean Mathematical Society)|2019.01|대한수학회논문집 (Communications of the KMS)|제34권 제1호|pp. 267-277|DOI 10.4134/CKMS.c170396

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참고문헌

키워드

Laplace operatordual surfacessimply isotropic spaceMonge patch
주제분류수학

초록

In this study, we define the dual surfaces by $z=f(u)+g(v)$ and also classify these surfaces in $\mathbb{I}_{3}^{1}$ satisfying some algebraic equations in terms of the coordinate functions and the Laplace operators according to fundamental forms of the surface.

Abstract

In this study, we define the dual surfaces by $z=f(u)+g(v)$ and also classify these surfaces in $\mathbb{I}_{3}^{1}$ satisfying some algebraic equations in terms of the coordinate functions and the Laplace operators according to fundamental forms of the surface.

참고문헌 (21)

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관련 논문AI추천

Translation surfaces of Type 2 in the three dimensional simply isotropic space Ⅱ13윤대원, Bahaddin Bukcu, Murat Kemal Karacan대한수학회 · 대한수학회보2017 · 제54권 제3호Translation surfaces in the 3-dimensional Galilean space satisfying ∆IIxi=λixi윤대원, Ali Cakmak, Murat Kemal Karacan, Sezai Kiziltug대한수학회 · 대한수학회보2017 · 제54권 제4호Constant curvature factorable surfaces in 3-dimensional isotropic spaceMuhittin Evren Aydin대한수학회 · 대한수학회지2018 · 제55권 제1호Surfaces of Revolution of Type 1 in Galilean 3-SpaceAli Cakmak, Hasan Es, Murat Kemal Karacan, Sezai Kiziltug경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2020 · 제60권 제3호Canal Surfaces in Pseudo-Galilean 3-SpacesMurat Kemal Karacan, Yılmaz Tuncer경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2020 · 제60권 제2호Canal Surfaces in Galilean 3-SpacesYilmaz Tuncer경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2017 · 제57권 제2호

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