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The list of quaternion-Kähler compact symmetric spaces can be found here. I am curious to know which of the non-compact versions of these spaces are Kähler. If the answer is known also for non-symmetric non-compact quaternion-Kähler spaces (of negative scalar curvature), it'd be great to know this too.

Any reference which explicitly addresses the issue would be appreciated.

(cross-posted to mathoverflow - link)

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