In this short note, we prove two properties of symplectic pairs on a four-manifold: firstly we prove that two transversal orientable foliations of codimension two, which are taut for the same Riemannian metric, are the characteristic foliations of a symplectic pair; secondly, we characterize intrinsically harmonic 2-forms of rank two as part of a symplectic pair.

Symplectic Pairs and Intrinsically Harmonic Forms

Bande, G
Primo
2023-01-01

Abstract

In this short note, we prove two properties of symplectic pairs on a four-manifold: firstly we prove that two transversal orientable foliations of codimension two, which are taut for the same Riemannian metric, are the characteristic foliations of a symplectic pair; secondly, we characterize intrinsically harmonic 2-forms of rank two as part of a symplectic pair.
2023
symplectic pairs; taut foliations; intrinsically harmonic forms
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11584/374083
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