Investigation of ruled surfaces and their singularities according to Blaschke frame in Euclidean $ 3 $-space
Yanlin Li, Ali H. Alkhaldi, Akram Ali, Rashad A. Abdel-Baky, M. Khalifa Saad
Abstract
<abstract><p>In this paper, we study the singularities on a non-developable ruled surface according to Blaschke's frame in the Euclidean 3-space. Additionally, we prove that singular points occur on this kind of ruled surface and use the singularity theory technique to examine these singularities. Finally, we construct an example to confirm and demonstrate our primary finding.</p></abstract>
Topics & Concepts
Gravitational singularityMathematicsRuled surfaceSingularityPure mathematicsSurface (topology)Space (punctuation)Euclidean geometryFrame (networking)Euclidean spaceDevelopable surfaceMathematical analysisGeometryComputer scienceTelecommunicationsOperating systemGeometric Analysis and Curvature FlowsAdvanced Differential Geometry ResearchDermatological and Skeletal Disorders