We acquire and publicize a few virtual domain names for some of the pages of content on our site. For instance, one of the most popular areas on our site is an FAQ related to one of the books we publish. It really resides at www.sub.exampleURL.edu/Misc/Chicago/cmosfaq.html. We also own the domain name www.thatspecificbooktitle.org and point it at the same content. Most of our use of the virtual domain name is for print advertising, etc.
Question is will we erode the PR of www.exampleURL.edu/Misc/Chicago/cmosfaq.html if the virtual domain name www.thatspecificbooktitle.org starts to get used online? Should we avoid using the virtual domain name wherever we can, on our own site? Best that we always link to the actual URL?
if the virtual domain is simply used for advertising then the chances are it will never even be crawled by a spider. These can be very helpfull for offering users a short url to deep parts within your site. I honestly dont see how it can effect PR one way or the other.