I don't know what to think. To be fair, it's just a teaser, showing us practically nothing we didn't already expect to see. Desert, some sort of palace, prince doing flippy things, lots of sand. ...Lots of sand.
And it's CG at that, so we don't even have a clue what it'll really look like. The few things I can say basically come down to:

• What is that giant sand thing at the end? I know the fact that this game even exists is shitting all over SoT trilogy's canon (Read: Unless it is, infact, a Midquel between SOT and WW, as LiquidPrince brought up.), but I'm pretty sure Kaileena being the origin of the sands and their removal from existence at the end of TTT rules out any possibility of some huge embodiment of the sands.
• If those are, in fact, 'other' sands of time (That have been apparently forgotten about), where did they come from and why is the prince rocking his Warrior Within garb?
• Something about the Prince's face really bugs me. He looks nothing like his old Trilogy form, or even Jake Gyllenhal for that matter. Also that hair is hilarious.

Loving it. Warrior Within prequel I think, base on the fact that he doesn't have the scar or tribal tattoo's.

" Loving it. Warrior Within prequel I think. "

" Loving it. Warrior Within prequel I think. "

It's PoP.  You already know what to expect.  They don't need to change anything for it to play like a PoP game.  The problem I have is that it's going to be a way of milking money from the hype around the movie this summer...rather than actually taking the time to make some pure quality. 
 
That's not to say the game will be bad, but personally, I'm satisfied with the Sands trilogy in terms of story.  I don't need someone to tell me the "forgotten" story within it all.

Looks like a movie cash-in to me.  Not necessarily tied to the movie in any way, but definitely made to capitalize on it.  Makes me sad, because I would have very much preferred to see where the new PoP was headed.  Hopefully they haven't completely abandoned it.

Always liked the  PoP Trilogy , so another game in that setting sounds great to me.

Hate it based on what I've seen. I want the follow-up to last year's game (which, by the looks of it, this isn't).

That trailer showed nothing about nothing. I don't like The Prince's eyes. Something about them seems off.  
 
I want to see how the platforming holds up against titles like Assassin's Creed and Uncharted 2.    Right now, when I think solid platform/action gaming I think of those two titles. If you would have asked me a couple years ago, I would have definitely included the PoP. I think our standards have changed though. I'm expecting a lot out of this game.
 
The pedigree of Ubisoft Montreal is really quite assuring. I'm sure It will be a good game. The thing I'm wondering, I guess, is will it be a great game?

I still need to play PoP from last year.

So we have a game based on a movie which was based on a game? 

I haven't been particularly impressed with the past few PoP games (the last especially) and the pre-rendered trailer they showed last night was pretty dire.
Hopefully I'm wrong, but I get the feeling this is nothing but a quick movie cash in.

" @LiquidPrince said:

" Loving it. Warrior Within prequel I think. "

I had a similar thought. Those seven years between SoT and WW have been largely left untouched. (The more or less forgotten about and obscure game Battles of Prince of Persia briefly touched on them, I think.) So it's entirely possible that they're going to cover his search for the origins of the sands. At least we'll finally see how charming SoT prince because his edgy latter self if that's true.
 
Also, I don't think he has his eyebrow scar he got in the beginning of WW there, so that helps the point.
 
@jukezypoo  I calls it like I sees it. "

" Loving it. Warrior Within prequel I think, base on the fact that he doesn't have the scar or tribal tattoo's. "

The art style is a step backwards from last year's game in my opinion.

I wanted a direct sequel to the last game. I loved that last Prince of Persia.