3-forms and almost complex structures on 6-dimensional manifolds

2003/05/22 by Martin Panák, Martin Panak, Panak, Martin +3
Mathematics · #Advanced Algebra and Geometry #Geometric and Algebraic Topology #Geometry and complex manifolds #math.DG #msc:53C15 #msc:58A10

paper · pdf · doi:10.48550/arxiv.math/0305312

arxiv created 2003/05/22 · arxiv updated 2009/11/30

Abstract

This article deals with 3-forms on 6-dimensional manifodls, the first dimension where the classification of 3-forms is not trivial. There are three classes of multisymplectic 3-forms there. We study the class which is closely related to almost complex structures.

Related

• Unified treatment of multisymplectic 3-forms in dimension 6
• The geometry of three-forms in six and seven dimensions
• The Geometry of Three-Forms on Symplectic Six-Manifolds
• Strictly nearly Kahler 6-manifolds are not compatible with symplectic forms
• Families of almost complex structures and transverse (p,p)-forms