Systems of symplectic forms on four-manifolds

Details Systems of symplectic forms on four-manifolds Systems of symplectic forms on four-manifolds

2011-02-09

arxiv.org/abs/1102.1995v2

Mathematics

Differential Geometry

Final version, to appear in Annali di SNS.added thm. 5.3

Scientific paper

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.

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