Thank you! I installed it and it's working very well. An interesting thing though is that if I run it from the menu (which uses the command openoffice.org3 -writer) it comes up in its normal gtk style. However, if I run it with the old swriter command, it comes up and uses the blocky gtk style that I have normally been seeing in non-KDE applications. This problem is described here: http://forum.vectorlinux.com/index.php?topic=11654.0
While I'm pleased that it is working and showing the correct gtk style, I still don't know why other applications aren't using that style like they are supposed to. Any help on that would be great.
On the topic of the weird gnome dependencies for the OpenOffice.org in the repo, I found another application (gtkam) which also wants all this gnome stuff. I'm not sure what to make of this except that these apps (and perhaps others) were probably packaged from a Gnome desktop environment causing it to pull in all those fake gnome deps. Is there anything that can be done about these packages?
EDIT: I just looked and found a bunch more packages with all those gnome deps. If you search gtk in Gslapt, there are a lot of packages that "require" gnome stuff.