There are some East Asian knives for women.
Korea: The ones in posts #6, #18, #19 (and some others) are women's knives:
http://www.vikingsword.com/vb/showthread.php?t=15166
https://en.wikipedia.org/wiki/Eunjangdo
The Japanese equivalent s the kaiken, 懐剣 = "breast/bosom sword", which could be translated as "hidden knife":
https://en.wikipedia.org/wiki/Kaiken_(dagger)
Unlike the Korean version, which functioned as display as well as a weapon, the Japanese version is hidden and thus purely a weapon. Men would carry them too.
The Japanese naginata is often considered a traditional samurai women's weapon. The wikipedia page
https://en.wikipedia.org/wiki/Naginata claims that there were naginata specifically for women (smaller than men's naginata). Other than that, women warriors/soldiers usually used the same weapons as men.