Stability under deformations of extremal almost-K\"ahler metrics in dimension 4
Differential Geometry
2010-04-22 v1
Abstract
Given a path of almost-K\"ahler metrics compatible with a fixed symplectic form on a compact 4-manifold such that at time zero the almost-K\"ahler metric is an extremal K\"ahler one, we prove, for a short time and under a certain hypothesis, the existence of a smooth family of extremal almost-K\"ahler 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.
Keywords
Cite
@article{arxiv.1004.3747,
title = {Stability under deformations of extremal almost-K\"ahler metrics in dimension 4},
author = {Mehdi Lejmi},
journal= {arXiv preprint arXiv:1004.3747},
year = {2010}
}
Comments
11 pages. typos and quotations corrected.