(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)