Translation factorable (TF) surfaces in three-dimensional isotropic space: unveiling future prospects for control systems | [Journal of Prime Research in Mathematics • 2023]

Author(s):

1. Brahim Medjahdi: Ecole Normale Super ́ieure D'Oran,Ahmed Ammour B.P 1063 Saim Mohamed Oran 31003, Alegr ́ie,

2. Abdelakder Belhenniche: SYSTEC - Research Center for Systems and Technologies, FEUP - Faculty of Engineering, Porto University,Rua Dr. Roberto Frias sn, 4200-465 Porto,Portugal

3. Hanifi Zoubir: Ecole Normale Super ́ieure D'Oran,Ahmed Ammour B.P 1063 Saim Mohamed Oran 31003, Alegr ́ie,

Abstract:

This article introduces the concept of translation-factorable surfaces in the isotropic space I3 and presents classification theorems for these surfaces based on their isotropic mean and isotropic Gaussian curvatures, considering both zero and nonzero values. Furthermore, an additional investigation is conducted to classify translation-factorable (TF) surfaces in I3 under the condition H2 = K.

Page(s): 60-71

DOI: DOI not available

Published: Journal: Journal of Prime Research in Mathematics, Volume: 19, Issue: 2, Year: 2023

Keywords:

2010 MSC , Isotropic space , translationfactorable surface , 53A35 , 53A40 , Gaussian curvatures , 53b25 , mean curvatures

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