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 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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 
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     title = {Almost {hyper-Hermitian} structures in bundle spaces over manifolds with almost contact $3$-structure},
     journal = {Czechoslovak Mathematical Journal},
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     year = {1998},
     volume = {48},
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     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/

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