On 4-dimensional locally conformally flat almost Kähler manifolds

Wiesław Królikowski

Almost hyper-Hermitian structures in bundle spaces over manifolds with almost contact $3$ -structure

Francisco Martín Cabrera (1998)

Czechoslovak Mathematical Journal

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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...

From Sasakian 3-structures to quaternionic geometry

Yoshiyuki Watanabe, Hiroshi Mori (1998)

Archivum Mathematicum

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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].

Displaying similar documents to “On 4-dimensional locally conformally flat almost Kähler manifolds”

Almost hyper-Hermitian structures in bundle spaces over manifolds with almost contact 3 -structure

From Sasakian 3-structures to quaternionic geometry

Almost hyper-Hermitian structures in bundle spaces over manifolds with almost contact $3$ -structure