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EnglishIn this paper we will give a sufficient condition on real strictly Levi-convex hypersurfaces $M$, embedded in four-dimensional K\"{a}hler manifolds $V$, such that Legendre duality can be performed. We consider the contact form $\theta$ on $M$ whose kernel is the restriction of the holomorphic tangent space of $V$: we will show that if there exists a Legendrian Killing vector field $v$, then the dual form $\beta(\cdot):=d\theta(v,\cdot)$ is a contact form on $M$ with the same orientation than $\theta$.
| Titolo: | Legendre duality on hypersurfaces in Kähler manifolds |
| Autore/i: | MARTINO, VITTORIO |
| Autore/i Unibo: | |
| Anno: | 2014 |
| Rivista: | |
| Digital Object Identifier (DOI): | http://dx.doi.org/10.1515/advgeom-2014-0016 |
| Abstract: | In this paper we will give a sufficient condition on real strictly Levi-convex hypersurfaces $M$, embedded in four-dimensional K\"{a}hler manifolds $V$, such that Legendre duality can be performed. We consider the contact form $\theta$ on $M$ whose kernel is the restriction of the holomorphic tangent space of $V$: we will show that if there exists a Legendrian Killing vector field $v$, then the dual form $\beta(\cdot):=d\theta(v,\cdot)$ is a contact form on $M$ with the same orientation than $\theta$. |
| Data prodotto definitivo in UGOV: | 2014-06-24 14:46:19 |
| Data stato definitivo: | 2016-10-20T18:32:15Z |
| Appare nelle tipologie: | 1.01 Articolo in rivista |
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http://hdl.handle.net/11585/288116
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