论文标题
将平滑功能降低到临界点附近的正常形式
Reducing smooth functions to normal forms near critical points
论文作者
论文摘要
该论文致力于通过在这些点的某些社区中的某些坐标变化在临界点附近的2个字体上的平滑函数降低到临界点附近的规范形式。对于奇异类型$ e_6，e_8 $和$ a_n $，我们明确地从下面（以$ c^r $ - 函数的范围）构建了所需邻域半径的估计更改和估计。
The paper is devoted to "uniform" reduction of smooth functions on 2-manifolds to canonical form near critical points by some coordinate changes in some neighbourhoods of these points. For singularity types $E_6,E_8$ and $A_n$, we explicitly construct such coordinate changes and estimate from below (in terms of $C^r$-norm of the function) the radius of a required neighbourhood.
