Abstract
In this paper we study invariant Einstein–Randers metrics on some homogeneous Riemannian manifolds of rank ≥ 2 . By finding out all the invariant Killing vector fields on the corresponding homogeneous Einstein Riemannian manifolds, we obtain a complete description of all the invariant Einstein–Randers metrics on those homogeneous manifolds. Since the underlying Riemannian Einstein metrics are generically not diagonal, this presents a large number of non-Riemannian homogeneous Einstein–Randers spaces of nonconstant flag curvature.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
