Legendre duality on hypersurfaces in Kahler manifolds

被引：2

作者：

Martino, Vittorio ^{[1
]}

机构：

[1] SISSA, Int Sch Adv Studies, Via Bonomea 265, I-34136 Trieste, Italy

来源：

ADVANCES IN GEOMETRY | 2014年 / 14卷 / 02期

关键词：

REAL HYPERSURFACES; SPACE; HOMOLOGY; FORMS;

D O I：

10.1515/advgeom-2014-0016

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a sufficient condition on real strictly Levi-convex hypersurfaces M, embedded in four-dimensional Kahler manifolds V, such that Legendre duality can be performed. We consider the contact form theta on M whose kernel is the restriction of the holomorphic tangent space of V and show that if there exists a Legendrian Killing vector field v, then the dual form beta(center dot) := d theta (v, center dot) is a contact form on M with the same orientation than theta.

引用

页码：277 / 286

页数：10