But- think about it- Dmitri is presumably a corruption of Demetrios (as in Demetrius and the Gladiators) and Demetrios has to be derived from Demeter.
How cool that a man's name should be derived from that of a Goddess! Are there other examples? I can't think of any.
P.S. There is, of course, a St.Demetrios. He's the patron saint of Thessalonika. He was an aristocrat who converted to Christianity, openly defied the Emperor Maximian and got butchered in a cellar for his pains. No, I didn't know this off the top of my head- I just looked it up here- http://www.comeandseeicons.com/inp142.htm