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- W3048757022 abstract "We find a necessary condition for the existence of an action of a Lie group $G$ by quaternionic automorphisms on an integrable quaternionic manifold in terms of representations of $mathfrak{g}$. We check this condition and prove that a Riemannian symmetric space of dimension $4n$ for $ngeq 2$ has an invariant integrable almost quaternionic structure if and only if it is quaternionic vector space, quaternionic hyperbolic space or quaternionic projective space." @default.
- W3048757022 created "2020-08-18" @default.
- W3048757022 creator A5048432237 @default.
- W3048757022 date "2020-08-12" @default.
- W3048757022 modified "2023-09-24" @default.
- W3048757022 title "Integrability of quaternion-Kahler symmetric spaces" @default.
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- W3048757022 doi "https://doi.org/10.48550/arxiv.2008.05376" @default.
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