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Correction to: “Stratified hyperkähler spaces from semisimple Lie algebras”. (English) Zbl 1434.53054

Summary: This erratum concerns the Kähler potential \(F\) defined in the second displayed equation of [M, Sect. 4.2], which is incorrectly claimed to be proper [the author, Transform. Groups 25, No. 1, 191–215 (2020; Zbl 1439.53050)].

MSC:

53C26 Hyper-Kähler and quaternionic Kähler geometry, “special” geometry
53C25 Special Riemannian manifolds (Einstein, Sasakian, etc.)
53C30 Differential geometry of homogeneous manifolds
57R18 Topology and geometry of orbifolds

Citations:

Zbl 1439.53050
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References:

[1] Dancer, A.; Swann, A., Hyperkähler metrics associated to compact Lie groups, Math. Proc. Cambridge Philos. Soc., 120, 1, 61-69 (1996) · Zbl 0867.53056 · doi:10.1017/S0305004100074673
[2] Hitchin, NJ; Karlhede, A.; Lindström, U.; Roček, M., Hyperkähler metrics and supersymmetry, Comm. Math. Phys., 108, 4, 535-589 (1987) · Zbl 0612.53043 · doi:10.1007/BF01214418
[3] Mayrand, M., Stratified hyperkähler spaces from semisimple Lie algebras, Transform. Groups, 25, 1, 191-215 (2020) · Zbl 1439.53050 · doi:10.1007/s00031-018-9501-x
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