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• W2258843707 abstract "Starting from a complex manifold S with a real-analytic c-projective structure whose curvature has type (1,1), and a complex line bundle L with a connection whose curvature has type (1,1), we construct the twistor space Z of a quaternionic manifold M with a quaternionic circle action which contains S as a totally complex submanifold fixed by the action. This extends a construction of hypercomplex manifolds, including hyperkaehler metrics on cotangent bundles, obtained independently by B. Feix and D. Kaledin. When S is a Riemann surface, M is a self-dual conformal 4-manifold, and the quotient of M by the circle action is an Einstein-Weyl manifold with an asymptotically hyperbolic end, and our construction coincides with a construction presented by the first author in a previous paper. The extension also applies to quaternionic Kaehler manifolds with circle actions, as studied by A. Haydys and N. Hitchin." @default.
• W2258843707 created "2016-06-24" @default.
• W2258843707 creator A5009102619 @default.
• W2258843707 creator A5058630357 @default.
• W2258843707 date "2019-01-04" @default.
• W2258843707 modified "2023-09-24" @default.
• W2258843707 title "Projective geometry and the quaternionic Feix–Kaledin construction" @default.
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• W2258843707 doi "https://doi.org/10.1090/tran/7719" @default.
• W2258843707 hasPublicationYear "2019" @default.
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