Differential Geometry from the viewpoint of Lagrangian or Legendrian singularity theory
Differential Geometry from the viewpoint of Lagrangian or Legendrian singularity theory
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DOI：
10.1142/9789812707499_0008
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发表时间：
2005-09
期刊：
影响因子：
--
通讯作者：
S. Izumiya
中科院分区：
文献类型：
--
作者：
S. Izumiya
本文从拉格朗日或勒让德奇点理论的角度，对欧氏空间中超曲面的外微分几何的经典结果进行了半综述。本文的许多结果已经在一些文章中得到了应用。然而，从这个角度出发，我们可以发现一些关于超曲面几何性质的新信息。
This is a half survey on the classical results of extrinsic differential geometry of hypersurfaces in Euclidean space from the view point of Lagrangian or Legendrian singularity theory. Many results in this paper have been already obtained in some articles. However, we can discover some new information of geometric properties of hypersurfaces from this point of view.