Contents Online
Mathematical Research Letters
Volume 15 (2008)
Number 4
Positive Quaternionic Kähler manifolds and symmetry rank: II
Pages: 641 – 651
DOI: https://dx.doi.org/10.4310/MRL.2008.v15.n4.a4
Author
Abstract
Let $M$ be a positive quaternionic Kähler manifold of dimension $4m$. If the isometry group $\text{Isom}(M)$ has rank at least $\frac {m}2 +3$, then $M$ is isometric to $\Bbb HP^m$ or $Gr_2(\Bbb C^{m+2})$. The lower bound for the rank is optimal if $m$ is even.
Published 1 January 2008