Generalizations of Killing vector fields in sol space

Abstract

We consider two generalizations of the Killing vector fields in the 3D Sol space. Conformal Killing vector fields are the first generalization, 2-Killing vector fields are the second. We characterize proper conformal Killing vector fields and determine some proper 2-Killing vector fields in Sol space.

Killing forms on Riemannian Poisson warped product space

“…S. Shenawy and B. Ü nal [24], provided some results of 2-Killing vector field for warped product space and apply these result to characterize it on some famous warped space time model. Z. Erjavec [25], currently characterized proper conformal Killing vector fields and determine some proper 2-Killing vector fields in Sol space.…”