@article{Eren2025, 
author = {Kemal Eren and Soley Ersoy and Mohammad Nazrul Islam Khan},
title = {Novel theorems on constant angle ruled surfaces with Sasai's interpretation},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {4},
pages = {8364-8381},
keywords = {constant-angle ruled surfaces, differential equations, modified orthogonal frame, Weingarten surfaces, partial differential equations},
url = {https://www.sciopen.com/article/10.3934/math.2025385},
doi = {10.3934/math.2025385},
abstract = {In the present study, we investigate constant-angle ruled surfaces constructed by the motion of the elements of each of the modified orthogonal frames along a base curve in three-dimensional Euclidean 3-space. These surfaces are studied and classified based on the constant-angle property. In these regards, we obtain the characterizations of the minimal and developable ruled surfaces by using partial differential equations. Also, we give the conditions for these surfaces to be Weingarten surfaces.}
}