Chrome refers to the artwork around the actual typing area in this case. For you’re browser, “Chrome” refers to the space taken up by the scroll bars, the nav bar, the book mark bars, the tab bar, etc. Anything that’s not part of the actual viewport is it’s “chrome”. Some browsers for instance have a border around the viewing area.
In this case, Android has various designs around the actual usable space. Look at these examples:
http://i.stack.imgur.com/OZkWA.png
https://appygram-images.storage.googleapis.com/images/products/five-guys-feedback-android.png
http://developer.android.com/design/media/text_input_typesandtypedown.png
http://webhole.net/wp-content/uploads/2011/09/all_fields_are_required_toast.png
You can see that Android text fields decorations are all over the place.
Rob