There is a lot of people out there that think chinese swords bend alot it is not true. All the weapons used in Wushu and in most kung fu films are light weight training weapons these weapons flop around. Because of this people are starting to believe this is how the weapons are movies like Crouching Tiger Hidden Dragon have created a fals understanding of chinese weapons.
All swords can and should bend some more than others Katana's are not ment to but most strait bladed swords should bend some and go back strait again. This takes some work but its made to do that forcing a sword to bend is not good for the blade it will cause stress in the blade. A viking sword is said to bend 6 inches and go back to being strait the flex gives it strength if something cant bend it can break. Single edged blades normal have more flex than others.
I would also like to say the Blood Groove on a weapon has nothing to do with blood it is a way to make a weapon lighter less metal means it don't weigh as much also a curved indention can add strength to the blade.
Here is some more on that.
http://www.agrussell.com/knife_information/knife_encyclopedia/articles/blood_groove.html