I'm a control theorist with an engineering physics background and although I don't have a strong foundation in manifolds and Lie groups, it's a subject I've been interested in for other reasons. A book that looks to apply one to the other, in pursuit of a challenging yet practical controls problem, might be both a fascinating read in and of itself, and a useful introduction to the topic aimed at someone with my background. I'm considering buying the book and I upvoted in part because I'm curious to see what further discussion is fostered on this subject.
