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, A., Martino, V. (2017). Contact type hypersurfaces and legendre duality. HOUSTON JOURNAL OF MATHEMATICS, 43(4), 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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