Singularity properties of null killing magnetic curves in Minkowski 3-space
Jianguo Sun
Abstract
We reconstruct the Cartan Equations of null Killing magnetic curve [Formula: see text] in [Formula: see text] with Killing magnetic vector field [Formula: see text] under the new Cartan frame [Formula: see text], which describe some new geometrical properties of [Formula: see text]. The singularity properties of the rectifying surfaces and the binormal osculating surfaces of null Killing magnetic curves are given. As an application, two examples are given to explain the main results, where the singular loci of null Killing magnetic curves are obtained.
Topics & Concepts
SingularityMinkowski spaceKilling vector fieldNull (SQL)Null vectorOsculating circlePhysicsMathematical physicsMoving framePure mathematicsFrenet–Serret formulasMagnetic fieldSpace (punctuation)Mathematical analysisMathematicsFrame (networking)GeometryCurvatureQuantum mechanicsPhilosophyLinguisticsComputer scienceDatabaseTelecommunicationsAdvanced Differential Geometry ResearchGeometric Analysis and Curvature FlowsBlack Holes and Theoretical Physics