Stability under deformations of Hermite-Einstein almost-Kähler metrics

Mehdi Lejmi

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arXiv · 1204.5438

Stability under deformations of Hermite-Einstein almost-Kähler metrics

Mehdi Lejmi

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Abstract

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 family, and inducing constant Hermitian scalar curvature metrics.

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Mehdi Lejmi. 2013-09-30. Stability under deformations of Hermite-Einstein almost-Kähler metrics. https://arxiv.org/abs/1204.5438

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