ORIGINAL RESEARCH article
Front. Phys.
Sec. Interdisciplinary Physics
Volume 13 - 2025 | doi: 10.3389/fphy.2025.1650000
SPACELIKE SURFACE FAMILIES INTERPOLATING COMMON ASYMPTOTIC CURVES IN MINKOWSKI 3–SPACE
Provisionally accepted
- 1Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia
- 2Assiut University, Asyut, Egypt
Select one of your emails
You have multiple emails registered with Frontiers:
Notify me on publication
Please enter your email address:
If you already have an account, please login
You don't have a Frontiers account ? You can register here
Abstract. This paper proposes a method for constructing families of spacelike surfaces in Minkowski 3-space E3 1 that share Bertrand curves as asymptotic curves. By employing marching-scale functions, we derive the necessary conditions, provide flexible formulations, and establish a framework for con-structing mutual spacelike Bertrand curves. Examples show how different functions generate surfaces interpolating the common asymptotic curves, offering new insights for geometric modeling and ruled surface theory.
Keywords: Bertrand couple, Tangent planes, Iso-asymptotic curve, Asymptotic, Spacelike
Received: 19 Jun 2025; Accepted: 13 Oct 2025.
Copyright: © 2025 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, aaalmoneef@pnu.edu.sa
Disclaimer: All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article or claim that may be made by its manufacturer is not guaranteed or endorsed by the publisher.