Novel theorems on constant angle ruled surfaces with Sasai's interpretation
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.
Authors
- Mohammad Nazrul Islam Khan (ORCID: https://orcid.org/0000-0002-9652-0355)
- Kemal Eren (ORCID: https://orcid.org/0000-0001-5273-7897)
- Soley Ersoy (ORCID: https://orcid.org/0000-0002-7183-7081)
Institutions
- Sakarya University (TR)
- Qassim University (SA)
- Software Research and Development Consulting (TR)
Publication Details
- Journal
- AIMS Mathematics
- Published
- 2025-01-01
- DOI
- https://doi.org/10.3934/math.2025385
- Citations
- 2
- Primary Topic
- Geometric Analysis and Curvature Flows
- Type
- article
- Field-Weighted Citation Impact
- 7.45