多参数等变分歧问题的开折的无穷小稳定性(英文)

基于奇点理论中的映射芽的左右等价关系,本文对等变分歧问题引入一种新的等价关系,提出了多参数等变分歧问题的开折关于该等价关系的无穷小稳定性的新概念,给出了多参数等变分歧问题的开折是无穷小稳定的充分必要条件.

Singularities of de Sitter Gauss map of timelike hypersurface in Minkowski 4-space

We study the singularities of de Sitter Gauss map of timelike hypersurface in Minkowski 4-space through their contact with hyperplanes.

The local classifications of the ruled surfaces of normals and binormals of a regular space curve

The ruled surfaces of normals and binormals of a space curve is locally classified under the left-right action according to the types of the curve. In order to do this some useful results are obtained on the relationship of the powers of terms in the Taylor series of an invertible function and its inverse.