Classifications of Tubular Surface with L1-Pointwise 1-Type Gauss Map in Galilean 3-space G3

Kişi İlim; Öztürk Günay

doi:10.5666/KMJ.2022.62.1.167

Article

Kyungpook Mathematical Journal 2022; 62(1): 167-177

Published online March 31, 2022

Classifications of Tubular Surface with L₁-Pointwise 1-Type Gauss Map in Galilean 3-space G3

Kişi İlim, Öztürk Günay

Department of Mathematics, Kocaeli University, Kocaeli 41380, Turkey
e-mail : ilim.ayvaz@kocaeli.edu.tr

Department of Mathematics, İzmir Democracy University, İzmir 35140, Turkey
e-mail : gunay.ozturk@idu.edu.tr

Received: December 26, 2020; Accepted: March 23, 2021

Abstract

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Abstract

In this manuscript, we handle a tubular surface whose Gauss map G satisfies the equality L1G=f(G+C) for the Cheng-Yau operator L1 in Galilean 3-space G3. We give an example of a tubular surface having L1-harmonic Gauss map. Moreover, we obtain a complete classification of tubular surface having L1-pointwise 1-type Gauss map of the first kind in G3 and we give some visualizations of this type surface.

Keywords: Cheng-Yau operator, Gauss map, tubular surface, Galilean 3-space