The local model of an isotropic map-germ arising from one-dimensional symplectic reduction
The local model of an isotropic map-germ arising from one-dimensional symplectic reduction
复制标题
由一维辛约简产生的各向同性图胚的局部模型
DOI：
10.1017/s0305004100075198
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发表时间：
1992
影响因子：
0.8
通讯作者：
G. Ishikawa
中科院分区：
文献类型：
--
作者：
G. Ishikawa
摘要：在本文中，我们对由相对于超曲面（即一维简化）的辛约简过程产生的通用各向同性图胚进行分类，直到 C 类别中的辛等价。这些模型是任意尺寸的开放式惠特尼雨伞及其悬架。这些奇点出现在 HamiltonJacobi 方程的广义柯西问题中。
Abstract In this paper, we classify generic isotropic map-germs arising from the symplectic reduction process relative to a hypersurface (i.e. one-dimensional reduction), up to symplectic equivalence in the C category. These models are open Whitney umbrellas of arbitrary dimension and their suspensions. These singularities appear in the generalized Cauchy problem for HamiltonJacobi equations.