I've been trying to find a way to stop G from shutting down videos on my phone and ipad. I was pretty convinced that there was no way to do this. But thanks to the power of Google and reading a very long support thread, I figured it out. I was so happy to find this info, I thought I would share it...
It's called Guided Access:
Go to:
Settings --> General --> Accessibility
Slide Guided Access to On
Go the video or app and triple tap the Home button.
When the Guided Access bar displays around your app, press Start.
To go back to normal, triple tap the Home button again, press End.