Frontals的奇点
Singularities of Frontals
摘要:
在这篇综述文章中,我们介绍了前沿的概念,它提供了一类广义子流形的奇点,但明确定义的切空间。本文从奇点理论的角度对几个几何问题中的锋的基本理论和已知研究进行了综述。特别地,本文试图对与frontals有关的一些基本而重要的结果给出一些在原论文中被省略的详细证明和相关的思想。
英文摘要:
In this survey article we introduce the notion of frontals, which provides a class of generalised submanifolds with singularities but with well-defined tangent spaces. We present a review of basic theory and known studies on frontals in several geometric problems from singularity theory viewpoints. In particular, in this paper, we try to give some of detailed proofs and related ideas, which were omitted in the original papers, to the basic and important results related to frontals.
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