Symplectic Pairs and Intrinsically Harmonic Forms

Gianluca Bande ()
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Gianluca Bande: Dipartimento di Matematica e Informatica, Università degli Studi di Cagliari, 09124 Cagliari, Italy

Mathematics, 2023, vol. 11, issue 13, 1-5

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.

Keywords: symplectic pairs; taut foliations; intrinsically harmonic forms (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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