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.

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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
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article

Novel theorems on constant angle ruled surfaces with Sasai's interpretation

Mohammad Nazrul Islam Khan, Kemal Eren, Soley Ersoy
2 citations
AIMS Mathematics
Geometric Analysis and Curvature Flows
7.45
article

Novel theorems on constant angle ruled surfaces with Sasai's interpretation

Mohammad Nazrul Islam Khan, Kemal Eren, Soley Ersoy
article en
2 citations

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.

AIMS MathematicsVol. 10(4)
Sakarya University (TR), Qassim University (SA), Software Research and Development Consulting (TR)
Openalex Percentile: Top 4%
Geometric Analysis and Curvature Flows
7.45
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