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ORIGINAL RESEARCH article

Front. Phys.
Sec. Interdisciplinary Physics
Volume 12 - 2024 | doi: 10.3389/fphy.2024.1484936

SLANT SPACELIKE RULED SURFACES AND THEIR BERTRAND OFFSETS

Provisionally accepted
Areej A. Almoneef Areej A. Almoneef 1*Rashad A, Abdel-Baky Rashad A, Abdel-Baky 2
  • 1 Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia
  • 2 Department of Mathematics, Faculty of Science, Assiut University, Asyut, Asyut, Egypt

The final, formatted version of the article will be published soon.

    We investigate in this work the synthesis problem of slant spacelike ruled surfaces and associated Bertrand offsets (BO) in E 3 1 (Minkowsk 3-space). We provide the parametric equation for a non-developable spacelike ruled surfaces (SLRS) by using the Blaschke frame (BF). This results in the amplitude to control a family of curvature functions defining the domestic form of this SLRS. As so, we found the appropriate SLRS criteria to be slant SLRS. Thus, several new Bertrand offsets (BO) for slant SLRS are investigated and constructed.

    Keywords: Darboux vector, Height functions, Developable surface. Mathematics Subject Classification: 53A04, 53A05, 53A17

    Received: 22 Aug 2024; Accepted: 31 Oct 2024.

    Copyright: © 2024 Almoneef and Abdel-Baky. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.

    * Correspondence: Areej A. Almoneef, Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, Riyadh, 11671, Saudi Arabia

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