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Existence of conformal symplectic foliations on closed manifolds

Existence of conformal symplectic foliations on closed manifolds

Abstract We study the existence of symplectic and conformal symplectic (codimension-1) foliations on closed manifolds of dimension $$\ge 5$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mo>≥</mml:mo> <mml:mn>5</mml:mn> </mml:mrow> </mml:math> . Our main theorem, based on a recent result by Bertelson–Meigniez, states that in dimension at least 7 any almost contact structure is homotopic …