That shape is what's called a Ghurka Khukuri knife. It's an ancient design intended for fighting -- hand-to-hand combat -- and despite the skill in its use shown by the guy in the video, I think it would be a very poor choice for the kitchen for a couple of reasons.
First, it's very thick, not thin like most kitchen knives (that's so it has the heft to lop off an enemy's head and cut through bone without breaking the blade).
Second, the cutting edge is very curved, an arc, whereas the cutting edge on every kitchen knife I've ever used is more or less flat.
Third, the handle is in a very awkward position relative to the cutting edge, which I believe would lead to fatigue and possible carpal tunnel problems over time.
These knives have been around for centuries, yet they've never been popular in the kitchen, and I suspect that's for the above and other reasons. You might as well use a machete.
They are cool however, and not necessarily expensive. Here's a nice decorative one for $38 from World Knives