New homogeneous Einstein metrics on quaternionic Stiefel manifolds (Q1629391)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: New homogeneous Einstein metrics on quaternionic Stiefel manifolds |
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | New homogeneous Einstein metrics on quaternionic Stiefel manifolds |
scientific article |
Statements
New homogeneous Einstein metrics on quaternionic Stiefel manifolds (English)
0 references
11 December 2018
0 references
The authors consider invariant Einstein metrics on the quaternionic Stiefel manifold $V_p\mathbb{H}^n\cong \operatorname{Sp}(n) / \operatorname{Sp}(n-p)$ of all $p$-frames in $\mathbb{H}^n$. They prove that if $n=3$ and $n=4$, $V_2\mathbb{H}^n$ admits eight such invariant Einstein metrics.
0 references
homogeneous space
0 references
Einstein metric
0 references
quaternionic Stiefel manifold
0 references
generalized Wallach space
0 references
generalized flag manifold
0 references
isotropy representation, Gröbner basis
0 references
