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

Francisco Martín Cabrera

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A remark on four-dimensional almost Kähler-Einstein manifolds with negative scalar curvature.

Lemence, R.S., Oguro, T., Sekigawa, K. (2004)

International Journal of Mathematics and Mathematical Sciences

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Stability under deformations of Hermite-Einstein almost Kähler metrics

Mehdi Lejmi (2014)

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On a $4$ -dimensional compact symplectic manifold, we consider a smooth family of compatible almost-complex structures such that at time zero the induced metric is Hermite-Einstein almost-Kähler metric with zero or negative Hermitian scalar curvature. We prove, under certain hypothesis, the existence of a smooth family of compatible almost-complex structures, diffeomorphic at each time to the initial one, and inducing constant Hermitian scalar curvature metrics.

New hyper-Käahler structures on tangent bundles

Xuerong Qi, Linfen Cao, Xingxiao Li (2014)

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Let $(M, g, J)$ be an almost Hermitian manifold, then the tangent bundle $T M$ carries a class of naturally defined almost hyper-Hermitian structures $(G, J_{1}, J_{2}, J_{3})$ . In this paper we give conditions under which these almost hyper-Hermitian structures $(G, J_{1}, J_{2}, J_{3})$ are locally conformal hyper-Kähler. As an application, a family of new hyper-structures is obtained on the tangent bundle of a complex space form. Furthermore, by restricting these almost hyper-Hermitian structures on the unit tangent sphere bundle $T_{1} M$ , we obtain...

3-submersions from QR-hypersurfaces of quaternionic Kähler manifolds

Gabriel Eduard Vîlcu (2010)

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We study 3-submersions from a QR-hypersurface of a quaternionic Kähler manifold onto an almost quaternionic hermitian manifold. We also prove the non-existence of quaternionic submersions between quaternionic Kähler manifolds which are not locally hyper-Kähler.

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Włodzimierz Jelonek (2007)

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We study four-dimensional almost Kähler manifolds (M,g,J) which satisfy A. Gray's condition (G₃).

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Włodzimierz Jelonek (2007)

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We study four-dimensional almost Kähler manifolds (M,g,J) which admit an opposite almost Kähler structure.

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We show that there exist astheno-Kähler structures on Calabi-Eckmann manifolds.

Displaying similar documents to “Almost hyper-Hermitian structures in bundle spaces over manifolds with almost contact 3 -structure”

Displaying similar documents to “Almost hyper-Hermitian structures in bundle spaces over manifolds with almost contact $3$ -structure”