Before I tried this (essentially a permanent change to your hammock that you may not like) I'd use something like this:
http://www.amazon.com/Duck-1100731-N...p+drawer+liner
While the silicone dots are an excellent idea, I've used this stuff to keep my sleeping bag from sliding off of my inflatable sleeping pad when I was sleeping in a tent. Good stuff, and might work for this application.
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