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Linear Weingarten Helicoidal Surfaces in Isotropic Space

Dae Won YoonDepartment of Mathematics Education and RINS, Gyeongsang National University, Jinju 52828, KoreaJae N. LeeDepartment of Mathematics Education and RINS, Gyeongsang National University, Jinju 52828, Korea
2016en
ABI

Abstract

In the present paper, we study helicoidal surfaces in the three-dimensional isotropic space I 3 and construct helicoidal surfaces satisfying a linear equation in terms of the Gaussian curvature and the mean curvature of the surface.

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