Systems of symplectic forms on four-manifolds

SImon G. Chiossi; Paul-Andi Nagy

Systems of symplectic forms on four-manifolds

Differential Geometry 2013-07-10 v2

Authors: SImon G. Chiossi , Paul-Andi Nagy

Abstract

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.

Keywords

symplectic forms almost Hermitian 4-manifolds holonomy algebra almost Kaehler 4-manifolds Riemannian 4-manifolds

Cite

@article{arxiv.1102.1995,
  title  = {Systems of symplectic forms on four-manifolds},
  author = {SImon G. Chiossi and Paul-Andi Nagy},
  journal= {arXiv preprint arXiv:1102.1995},
  year   = {2013}
}

Comments

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

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