Offhand, a quick search for info on this leads me to believe it won't accept HDMI. It seems to accept either composite, S-video, or component video only.
This link should provide answers to any questions you might have.
http://www.infocus.com/Support/Products/Projectors/LP340B.aspx
These projectors are more geared to operate off of computers for business use, say powerpoint projections and such. It does reference an "M1-A" input, which is beyond my ken. I doubt it's used in home thearer, though.
You
might* get by with a "HDMI to component adapter" but I have no idea what complications might arise, or how well they operate :
http://www.hdtvsupply.com/hdtocoad.html
* They might work with cable boxes but they say they definitly won't work for disc based media. Ya gotta love that HDCP stuff. I wonder how well it would work if you played DVD's on a computer? Would that ultimately be any better than composite or S-video?