AUTHOR=Mofarreh Fatemah 

TITLE=Timelike-Ruled and Developable Surfaces in Minkowski 3-Space E13

JOURNAL=Frontiers in Physics

VOLUME=10

YEAR=2022

URL=https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2022.838957

DOI=10.3389/fphy.2022.838957

ISSN=2296-424X

ABSTRACT=<p>In this study, the timelike-ruled and developable surfaces are constructed in Minkowski 3-space <inline-formula id="inf2"><mml:math id="m2" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msubsup><mml:mrow><mml:mi mathvariant="double-struck">E</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msubsup></mml:math></inline-formula>. Using the E. Study map, we demonstrate that dual forms of timelike-ruled and developable surfaces can be obtained from the coordinates and first derivatives of the base curve at the dual hyperbolic unit sphere. This is proposed as a novel method for obtaining timelike-ruled and developable surfaces. Some examples have also been provided.</p>