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

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

Authors: Brahim Medjahdi, Abdelakder Belhenniche, Hanifi Zoubir

Journal: Journal of Prime Research in Mathematics

HEC Recognition History
Category From To
Y 2023-07-01 2024-09-30
Y 2022-07-01 2023-06-30
Y 2021-07-01 2022-06-30
Y 2020-07-01 2021-06-30

Publisher: Abdus Salam School of Mathematical Sciences, GC University

Country: Pakistan

Year: 2023

Volume: 19

Issue: 2

Language: English

Keywords: translation-factorable surfacesisotropic spacecontrol systems

Categories
Surfaces (2) Isotropic Space (1) Translation Factorable Surfaces (1) Control Systems (1276) Differential Geometry (14)

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

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