Stability under deformations of extremal almost-Kähler metrics in dimension 4
- Autores: Mehdi Lejmi
- Localización: Mathematical research letters, ISSN 1073-2780, Vol. 17, Nº 4, 2010, págs. 601-612
- Idioma: inglés
- DOI: 10.4310/mrl.2010.v17.n4.a2
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Resumen
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.
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