Thanks for posting this in the answers forum! I'm sorry to hear you are losing your Internet connection after exiting the SlingPlayer application on your iPad and iPhone. This is a very strange issue. I honestly don't think I've seen something like this happen before. However, when this happened, were you able to get your Internet connection back. Also, if you were able to; did you try to see if it would happen again?
Feel free to reply!
The Sling Moderation Team