Positive Quaternionic Kähler manifolds and symmetry rank: II

• Autores: Fuquan Fang
• Localización: Mathematical research letters, ISSN 1073-2780, Vol. 15, Nº 4, 2008, págs. 641-651
• Idioma: inglés
• DOI: 10.4310/mrl.2008.v15.n4.a4
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• Resumen

  • 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.