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Legendre duality on hypersurfaces in Kähler manifolds

TitleLegendre duality on hypersurfaces in Kähler manifolds
Publication TypeJournal Article
Year of Publication2014
AuthorsMartino, V

We give a sufficient condition on real strictly Levi-convex hypersurfaces M, embedded in four-dimensional Kähler manifolds V , such that Legendre duality can be performed. We consider the contact form onM whose kernel is the restriction of the holomorphic tangent space of V and show that if there exists a Legendrian Killing vector field v, then the dual form β(̇) := d(v, ̇) is a contact form on M with the same orientation than theta.


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