Wow.. that's a tough one.
The official documents are online at the Ministry of Justice of Georgia but (naturally) they're all in Georgian and even Google Translate couldn't help me find anything there of note. There's an official English site too but they lack the detailed document search you need to find information this specific.
Meanwhile, the US Department of State has this to say in their Georgia travel info:
You may not import firearms into Georgia; however, you may bring hunting weapons into the country for a two-week period, based on a valid Georgian hunting license. They don't mention knives at all but perhaps absence of evidence is evidence of absence in this case.
Then there's the completely unofficial, anecdotal accounts I've turned up elsewhere on the web:
- Centurion, a hostile environment training provider, claimes that
It is normal for most men in Georgia to carry firearms. (To be taken with salt due to their business interests.)
- This article in the BBC World News also claims many students now carry knives to school due to an increase in bullying. (Doesn't mention if it's legal.)
- The author of this travel guide, suggests Swiss Knives and Leathermans as good gifts for a host family. (Might be stupid.)
These are about as far as you can get from an official source but they do paint the picture of a society either without strong concealed weapon laws or at least very poor enforcement. It may just be that my Google-Fu is weak today but I get the distinct feeling Georgia doesn't have any knife laws to speak of.
(Oh but obviously don't take them in your carry on!)