CONTACT TYPE HYPERSURFACES AND LEGENDRE DUALITY

被引：0

作者：

Maalaoui, Ali ^{[1
]}

Martino, Vittorio ^{[2
]}

机构：

[1] Amer Univ Ras Al Khaimah, Dept Math & Nat Sci, POB 10021, Ras Al Khaymah, U Arab Emirates

[2] Univ Bologna, Dipartimento Matemat, Piazza Porta S Donato 5, I-40127 Bologna, Italy

来源：

HOUSTON JOURNAL OF MATHEMATICS | 2017年 / 43卷 / 04期

关键词：

Contact manifolds; convex hypersurfaces; CR-YAMABE EQUATION; HOMOLOGY; CURVES;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study contact type hypersurfaces embedded in four-dimensional Kahler 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 R-4, we will explicitly complete this duality.

引用

页码：1087 / 1098

页数：12