Geodesic
Almost hyper-Hermitian structures in bundle spaces over manifolds with almost contact $3$-structure
Czechoslovak Mathematical Journal, Tome 48 (1998) no. 3, pp. 545-563.

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We consider almost hyper-Hermitian structures on principal fibre bundles with one-dimensional fiber over manifolds with almost contact 3-structure and study relations between the respective structures on the total space and the base. This construction suggests the definition of a new class of almost contact 3-structure, which we called trans-Sasakian, closely connected with locally conformal quaternionic Kähler manifolds. Finally we give a family of examples of hypercomplex manifolds which are not quaternionic Kähler.
Classification : 53C15, 53C25, 53C26, 53C55 
@article{CMJ_1998__48_3_a9,
     author = {Cabrera, Francisco Mart{\'\i}n},
     title = {Almost {hyper-Hermitian} structures in bundle spaces over manifolds with almost contact $3$-structure},
     journal = {Czechoslovak Mathematical Journal},
     pages = {545--563},
     publisher = {mathdoc},
     volume = {48},
     number = {3},
     year = {1998},
     mrnumber = {1637934},
     zbl = {0955.53027},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_1998__48_3_a9/}
}
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Cabrera, Francisco Martín. Almost hyper-Hermitian structures in bundle spaces over manifolds with almost contact $3$-structure. Czechoslovak Mathematical Journal, Tome 48 (1998) no. 3, pp. 545-563. http://geodesic.mathdoc.fr/item/CMJ_1998__48_3_a9/