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THREE-FORMS AND ALMOST COMPLEX STRUCTURES ON SIX-DIMENSIONAL MANIFOLDS

Part of: Global differential geometry General theory of differentiable manifolds

Published online by Cambridge University Press:  01 April 2008

MARTIN PANÁK  and
JIŘÍ VANŽURA
MARTIN PANÁK*
Affiliation:
Department of Algebra and Geometry, Masaryk University Brno, Janackovo nam. 2a, 602 00 Brno, Czech Republic (email: naca@math.muni.cz)
JIŘÍ VANŽURA
Affiliation:
Institute of Mathematics, AS CR, Zizkova 22, 616 62 Brno, Czech Republic (email: vanzura@ipm.cz)
*
✉For correspondence; e-mail: naca@math.muni.cz
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Abstract

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This paper deals with 3-forms on six-dimensional manifolds, the first dimension where the classification of 3-forms is not trivial. It includes three classes of multisymplectic 3-forms. We study the class which is closely related to almost complex structures.

Keywords

3-formalmost complex structuresix-dimensional manifold

MSC classification

Secondary: 53C15: General geometric structures on manifolds (almost complex, almost product structures, etc.) 58A10: Differential forms
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 84 , Issue 2 , April 2008 , pp. 247 - 263
Copyright
Copyright © 2008 Australian Mathematical Society

References

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