Walker manifolds and Killing magnetic curves

• Published in: Differential geometry and its applications Vol. 35; pp. 106 - 116
• Main Authors: Bejan, Cornelia-Livia, Druţă-Romaniuc, Simona-Luiza
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.09.2014
• Subjects: Killing vector field; Lightlike geodesic; Magnetic field; Magnetic trajectory; Walker manifold; Killing vector field; Walker manifold; Magnetic field; Lightlike geodesic; Magnetic trajectory; primary

On a Walker manifold Mf3, we first characterize the Killing vector fields, aiming to obtain the corresponding Killing magnetic curves. When the manifold is endowed with a unitary spacelike vector field ξ, we prove that after a reparameterization, any lightlike curve normal to ξ is a lightlike geodes...