Geodesic
From Sasakian 3-structures to quaternionic geometry
Archivum mathematicum, Tome 34 (1998) no. 3, pp. 379-386

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

We construct a family of almost quaternionic Hermitian structures from an almost contact metric 3-structure and also do three kinds of quaternionic Kähler structures from a Sasakian 3-structure. In particular we have a generalization of the second main result of Boyer-Galicki-Mann [5].
Classification : 53C25, 53C26
Keywords: almost contact metric 3-structure; Sasakian 3-structure; almost quaternionic Hermitian manifold; quaternionic Kähler manifold; hyperkähler manifold 
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     author = {Watanabe, Yoshiyuki and Mori, Hiroshi},
     title = {From {Sasakian} 3-structures to quaternionic geometry},
     journal = {Archivum mathematicum},
     pages = {379--386},
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     number = {3},
     year = {1998},
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     zbl = {0966.53032},
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Watanabe, Yoshiyuki; Mori, Hiroshi. From Sasakian 3-structures to quaternionic geometry. Archivum mathematicum, Tome 34 (1998) no. 3, pp. 379-386. http://geodesic.mathdoc.fr/item/ARM_1998__34_3_a5/