Systems of symplectic forms on four-manifolds

We study almost Hermitian 4-manifolds with holonomy algebra, for the canonical Hermitian connection, of dimension at most one. We show how Riemannian 4-manifolds admitting five orthonormal symplectic forms fit therein and classify them. In this set-up we also fully describe almost Kaehler 4-manifold...

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Published inarXiv.org
Main Authors Chiossi, SImon G, Paul-Andi Nagy
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 02.01.2012
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Summary:We study almost Hermitian 4-manifolds with holonomy algebra, for the canonical Hermitian connection, of dimension at most one. We show how Riemannian 4-manifolds admitting five orthonormal symplectic forms fit therein and classify them. In this set-up we also fully describe almost Kaehler 4-manifolds.
ISSN:2331-8422