Abstract. In this paper we study contact type hypersurfaces embedded in four-dimensional Kähler manifolds. We are interested whether the so called Legendre duality can be performed and we will show that this can be related to some convexity assumptions, giving a sufficient condition. As an application, in the case of convex hypersurfaces in R4, we will explicitly complete this duality.

Contact type hypersurfaces and legendre duality

Martino, Vittorio
2017

Abstract

Abstract. In this paper we study contact type hypersurfaces embedded in four-dimensional Kähler manifolds. We are interested whether the so called Legendre duality can be performed and we will show that this can be related to some convexity assumptions, giving a sufficient condition. As an application, in the case of convex hypersurfaces in R4, we will explicitly complete this duality.
Maalaoui, Ali; Martino, Vittorio
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11585/615505
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