4.5 Article

Linear Weingarten Helicoidal Surfaces in Isotropic Space

Journal

SYMMETRY-BASEL
Volume 8, Issue 11, Pages -

Publisher

MDPI AG
DOI: 10.3390/sym8110126

Keywords

isotropic space; helicoidal surface; linear Weingarten surface

Funding

  1. Basic Science Research Program through the National Research Foundation of Korea (NRF) - Ministry of Education [2015R1D1A1A01060046]

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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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