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- W2964109866 abstract "Let $M$ be a quaternionic manifold, $dim M=4k$, whose twistor space is a Fano manifold. We prove the following: (a) $M$ admits a reduction to ${rm Sp}(1)times{rm GL}(k,mathbb{H})$ if and only if $M=mathbb{H} P^k$, (b) either $b_2(M)=0$ or $M={rm Gr}_2(k+2,mathbb{C})$. This generalizes results of S. Salamon and C. R. LeBrun, respectively, who obtained the same conclusions under the assumption that $M$ is a complete quaternionic-Kähler manifold with positive scalar curvature." @default.
- W2964109866 created "2019-07-30" @default.
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- W2964109866 date "2015-12-01" @default.
- W2964109866 modified "2023-09-25" @default.
- W2964109866 title "On the quaternionic manifolds whose twistor spaces are Fano manifolds" @default.
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- W2964109866 doi "https://doi.org/10.2748/tmj/1450798069" @default.
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