AUTHOR=Almoneef Areej A. , Abdel-Baky Rashad A. 

TITLE=Spacelike surface families interpolating common asymptotic curves in Minkowski 3-space

JOURNAL=Frontiers in Physics

VOLUME=Volume 13 - 2025

YEAR=2025

URL=https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2025.1650000

DOI=10.3389/fphy.2025.1650000

ISSN=2296-424X

ABSTRACT=In this paper, we propose a method for constructing families of spacelike surfaces in Minkowski 3-spaceE13 that share Bertrand curves as asymptotic curves. By using marching-scale functions, we derive the necessary conditions, provide flexible formulations, and establish a framework for constructing 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.