A New Class of Bertrand Curves in Euclidean 4-Space
Yanlin Li, Ali Uçum, Kazım İlarslan, Çetin Camcı
Abstract
Bertrand curves are a pair of curves that have a common principal normal vector at any point and are related to symmetry properties. In the present paper, we define the notion of 1,3-V Bertrand curves in Euclidean 4-space. Then we find the necessary and sufficient conditions for curves in Euclidean 4-space to be 1,3-V Bertrand curves. Some related examples are given.
Topics & Concepts
MathematicsEuclidean geometryEuclidean spaceSpace (punctuation)Point (geometry)Class (philosophy)Symmetry (geometry)Mathematical analysisPure mathematicsGeometryComputer scienceOperating systemArtificial intelligenceAdvanced Numerical Analysis TechniquesGeometric Analysis and Curvature FlowsPoint processes and geometric inequalities