Abstract
We consider invariant Einstein metrics on the Stiefel manifold VqRn of all orthonormal q-frames in Rn. This manifold is diffeomorphic to the homogeneous space SO(n)/SO(n−q) and its isotropy representation contains equivalent summands. We prove, by assuming additional symmetries, that V4Rn(n⩾6) admits at least four SO(n)-invariant Einstein metrics, two of which are Jensen's metrics and the other two are new metrics. Moreover, we prove that V5R7 admits at least six invariant Einstein metrics, two of which are Jensen's metrics and the other four are new metrics.
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.
