Classification of Some Special Types Ruled Surfaces in Simply Isotropic 3-Space-Reference-Cited by-同舟云学术

Classification of Some Special Types Ruled Surfaces in Simply Isotropic 3-Space

Published:2017-07-26 Issue:1 Volume:55 Page:87-98
ISSN:1841-3307
Container-title:Annals of West University of Timisoara - Mathematics and Computer Science
language:en
Short-container-title:

Author:

Karacan Murat Kemal¹,Yoon Dae Won²,Yuksel Nural³

Affiliation:

1. Faculty of Sciences and Arts, Department of Mathematics, Usak University, 1 Eylul Campus, 64200, Usak , Turkey

2. Department of Mathematics Education and RINS, Gyeongsang National University, 660-701, Jinju , Korea, Republic of

3. Erciyes University, Faculty of Sciences, Department of Mathematics, 38039, Kayseri , Turkey

Abstract

Abstract In this paper, we classify two types ruled surfaces in the three dimensional simply isotropic space I1 3 under the condition ∆xi= λixi where ∆ is the Laplace operator with respect to the first fundamental form and λ is a real number. We also give explicit forms of these surfaces.

Publisher

Walter de Gruyter GmbH

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