Hypersurfaces in symplectic affine geometry

被引：3
|
作者：
Deconchy, V [1 ]
机构：
[1] Univ Montpellier 2, Dept Math CC 51, Lab GTA, UMR 5030, F-34095 Montpellier 5, France
来源：
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2002年 / 17卷 / 01期
关键词：
affine geometry; symplectic geometry; isoperimetric inequality;
D O I：
10.1016/S0926-2245(01)00067-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study properties of hypersurfaces of the standard symplectic space (R-2n,omega), which are invariant under affine symplectic transformations. In this framework, we describe the invariants of hypersurfaces and discuss the existence of an isoperimetric inequality. (C) 2002 Published by Elsevier Science B.V.
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页码：1 / 13
页数：13
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