Having a pared-down, mobile version of the EVE Online client has been on the wish list of many players, as well as the to-do list of the CCP Games developers. Unfortunately, EVE mobile doesn't yet exist. The closest thing to this currently offered are mobile applications that monitor skill training and the market. However, there seem to be more and more of them lately, perhaps largely driven by the popularity of the iPhone and iPod touch.
One of the shinier apps out there for the iPhone is EVE Tracker from Saggy Software, an application that also runs on the iPod touch. As its name implies, EVE Tracker can track a pilot's stats and training status; it displays your avatar and isk balance, in addition to your attributes and skillpoints. You can review your character's skill progression (skills previously trained) and flip through related info with a skill browser. EVE Tracker can handle multiple characters and multiple accounts, which could be handy for those who took advantage of EVE's Power of Two subscription offer a little while back.