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 / Maalaoui, Ali; Martino, Vittorio. - In: HOUSTON JOURNAL OF MATHEMATICS. - ISSN 0362-1588. - STAMPA. - 43:4(2017), pp. 1087-1098.
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.File in questo prodotto:
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