整体的E.Borel定理

E．Borel定理是局部奇点理论中的一个重要结论：若给定C~∞函数芽的序列则存在－C~∞函数芽，使得文将推广这一定理，得到关于在整个空间上的C~∞函数的相应的整体结果：给定在R^n的－C~∞函数列，存在R^n×R上的－C~∞函数f:R^n×R→R。

On Global General Solutions of Complex Normal Polynomial Systems

In this paper, using the Strong Rooted Theorem of complex polynomial systems we prove the existence of global general solutions of a class of complex polynomial systems, discuss the qualitative structure of global general solutions of normal polynomial systems, and obtain their representation theorem. Finally, we give some applications of the theorem.

On a non-abelian invariant on complex surfaces of general type Dedicated to Professor Sheng GONG on the occasion of his 75th birthday

In this paper,we give certain homotopy and diffeomorphism versions as a generalization to an earlier result due to W.S.Cheung,Bun Wong and Stephen S.T.Yau concerning a local rigidity problem of the tangent bundle over compact surfaces of general type.