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

Gunay Ozturk|Ilim Kisi
경북대학교 자연과학대학 수학과|2022.03|Kyungpook Mathematical Journal|제62권 제1호|pp. 167-177|DOI https://doi.org/10.5666/KMJ.2022.62.1.167

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키워드

Gauss mapCheng-Yau operatortubular surfaceGalilean 3- space
주제분류수학

초록

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

Abstract

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

참고문헌 (20)

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