CHARACTERIZATIONS OF NORMAL AND BINORMAL SURFACES IN G3

Dae Won Yoon, zuhal kucukarslan yuzbasi

DOI Number
https://doi.org/10.22190/FUMI210214008Y
First page
077
Last page
088

Abstract


In this paper, our aim is to give surfaces in the Galilean 3-space G3 with the property that there exist four geodesics through each point such that every surface built with the normal lines and the binormal lines along these geodesics is a surface with a minimal surface and a constant negative Gaussian curvature. We show that should be an isoparametric surface in G3: A plane or a circular hyperboloid.


Keywords

surfaces, Galilean 3-space, geodesics

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References


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DOI: https://doi.org/10.22190/FUMI210214008Y

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