Translation Factorable (TF) Surfaces in Three-Dimensional Isotropic Space: Unveiling Future Prospects for Control Systems

Authors

  • Brahim Medjahdi Ecole Normale Sup´erieure D’Oran, Ahmed Ammour B.P 1063 Saim Mohamed Oran 31003, Alg´erie.
  • Abdelakder Belhenniche SYSTEC - Research Center for Systems and Technologies, FEUP - Faculty of Engineering, Porto University, Rua Dr. Roberto Frias sn, 4200-465 Porto, Portugal.
  • Hanifi Zoubir Ecole Nationale Polytechnique d’Oran Maurice Audin, B.P 1523 El M’naouer Oran 31000, Algeria.

Keywords:

Isotropic space, translation-factorable surface, mean curvatures, Gaussian curvatures

Abstract

This article introduces the concept of translation-factorable surfaces in the isotropic space ????3 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 ????3 under the condition H2=K

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Published

2023-12-31

Issue

Vol. 19 No. 2 (2023): Journal of Prime Research in Mathematics

Section

Regular

How to Cite

Translation Factorable (TF) Surfaces in Three-Dimensional Isotropic Space: Unveiling Future Prospects for Control Systems. (2023). Journal of Prime Research in Mathematics, 19(2), 60–71. https://jprm.sms.edu.pk/index.php/jprm/article/view/216