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From Sasakian 3-structures to quaternionic geometry. (English) Zbl 0966.53032
The authors construct a family of almost quaternionic Hermitian structures from an almost contact metric 3-structure. Similarly they construct three kinds of quaternionic Kähler structures from a Sasakian 3-structure. A generalization of the result of C.P. Boyer, K. Galicki and B. M. Mann [J. Reine Angew. Math. 455, 183-220 (1994; Zbl 0889.53029)] is obtained.

MSC:
53C26 Hyper-Kähler and quaternionic Kähler geometry, “special” geometry
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