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arXiv · 1004.3747

Stability under deformations of extremal almost-Kähler metrics in dimension 4

Mehdi Lejmi
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Abstract

Given a path of almost-Kähler metrics compatible with a fixed symplectic form on a compact 4-manifold such that at time zero the almost-Kähler metric is an extremal Kähler one, we prove, for a short time and under a certain hypothesis, the existence of a smooth family of extremal almost-Kähler metrics compatible with the same symplectic form, such that at each time the induced almost-complex structure is diffeomorphic to the one induced by the path.

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Mehdi Lejmi. 2010-04-21. Stability under deformations of extremal almost-Kähler metrics in dimension 4. https://arxiv.org/abs/1004.3747

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