Just did a quick Google search and it looks like color management can only be accomplished with Acrobat Professional. Maybe this is just another example of Adobe being asleep at the wheel. I've not used the book module in LR but one "would assume" that if color correction was done in LR it ought to translate over the Acrobat Reader.
I wanted to "share" images in an organized way, for example as a book with pages and all that.
Already is a concern of mine that many people don't calibrate their monitors.
Now another is that also many people do not own necessarily Adobe Professional, for most (me included) is the Reader more than enough.
So the probability that "normal" people with which you'd like to share images will see something different from your intention is not small.
It doesn't make much sense publishing on the Internet, you never know what other people are seeing...
The only way seems to be printing then.
