Abstract
Abstract We consider invariant Einstein metrics on the quaternionic Stiefel manifold V p ℍ n of all orthonormal p-frames in ℍ n . This manifold is diffeomorphic to the homogeneous space Sp(n)/Sp(n − p) and its isotropy representation contains equivalent summands. We obtain new Einstein metrics on V p ℍ n ≅ Sp(n)/Sp(n − p), where n = k 1 + k 2 + k 3 and p = n − k 3. We view V p ℍ n as a total space over the generalized Wallach space Sp(n)/(Sp(k 1)×Sp(k 2)×Sp(k 3)) and over the generalized flag manifold Sp(n)/(U(p)×Sp(n − p)).
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.
