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

Stability under deformations of Hermite-Einstein almost Kähler metrics

Mehdi Lejmi (2014)

Annales de l’institut Fourier

Similarity:

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)

Communications in Mathematics

Similarity:

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)

Annales Polonici Mathematici

Similarity:

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.