(1) Department of Mathematical Sciences, Tsinghua University, Beijing, 100084, P. R. China;(2) Department of Mathematics, Wuhan University, Wuhan, 430072, P. R. China
Abstract:
Abstract
Two characterizations for a local diffeomorphism of
ℝn
to be global one are given in terms of associated Wazewski
equations. The two characterizations could be useful for the
investigation of the Jacobian conjecture.
This work is supported by the National Key Basic
Research Special Fund (No. G1998020309) and by the National
Natural Science Foundation of China (No. 19990510)