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

Murat Kemal Karacan

Murat Kemal Karacan

Faculty of Sciences and Arts, Department of Mathematics, Usak University, 1 Eylul Campus, 64200,Usak, Turkey
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Karacan, Murat Kemal
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Dae Won Yoon

Dae Won Yoon

Department of Mathematics Education and RINS, Gyeongsang National University, 660-701,Jinju, Korea, Republic of
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Yoon, Dae Won
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Nural Yuksel

Nural Yuksel

Erciyes University, Faculty of Sciences, Department of Mathematics, 38039,Kayseri, Turkey
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Yuksel, Nural
  
02 set 2017
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Pubblicato online: 02 set 2017
Pagine: 87 - 98
Ricevuto: 31 ott 2016
Accettato: 04 mar 2017
DOI: https://doi.org/10.1515/awutm-2017-0006
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© Annals of West University of Timisoara - Mathematics
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

In this paper, we classify two types ruled surfaces in the three dimensional simply isotropic space I13 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.

Lingua:
Inglese
Frequenza di pubblicazione:
Volume Open
Argomenti della rivista:
Matematica, Matematica generale
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