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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.
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页码:1087 / 1098
页数:12
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