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- W2020150818 abstract "We discuss the interaction between the geometry of a quaternion-K{a}hler manifold $M$ and that of the Grassmannian $mathbb{G}_3(mathfrak{g})$ of oriented $3$-dimensional subspaces of a compact Lie algebra $mathfrak{g}$. This interplay is described mainly through the moment mapping induced by the action of a group $G$ of quaternionic isometries on $M$. We give an alternative expression for the imaginary quaternionic endomorphisms $I,J,K$ in terms of the structure of the Grassmannian's tangent space. This relies on a correspondence between the solutions of respective twistor-type equations on $M$ and $mathbb{G}_3(mathfrak{g})$." @default.
- W2020150818 created "2016-06-24" @default.
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- W2020150818 date "2008-06-01" @default.
- W2020150818 modified "2023-09-30" @default.
- W2020150818 title "Latent Quaternionic Geometry" @default.
- W2020150818 doi "https://doi.org/10.3836/tjm/1219844833" @default.
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