Mathematical Research Letters

Volume 15, Issue 4, July 2008 pp. 641-651.

Positive Quaternionic K\"ahler manifolds and symmetry rank: II

Authors: Fuquan Fang
Author institution: Capital Normal University

Summary: Let $M$ be a positive quaternionic K\"ahler 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.

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