The surjectivity question for the exponential function of real Lie groups : A status report

@inproceedings{okovi1997TheSQ,
title={The surjectivity question for the exponential function of real Lie groups : A status report},
author={Dragomir Ž. D – okovi{\'c} and Karl Heinrich Hofmann},
year={1997}
}

The present knowledge of the structure of the exponential function of a real Lie group is surveyed. The emphasis is on the image of the exponential function: Which powers of a group element are contained in it, when is it dense, when does it fill the group? Some so far unobserved errors in the literature are pointed out, results are described, and some conjectures are formulated. Mathematics Subject Classification: Primary 22E10, 22E15; Secondary 22– 02, 22E60.