Copy and pasted from NeoGaf:

Overall, PlayStation 4 takes the lead where the next-gen consoles are concerned, with the higher quality effects work and higher frame-rates providing a preferable experience overall, particularly during heated combat, where the drops in performance are both felt and seen more heavily on the Xbox One. That said, as we pointed out in the performance analysis earlier this week, we would have liked an optional 30fps cap in the display settings to eliminate the judder during the frame-rate fluctuations and keep absolute consistency with controller response throughout.

For those wondering how it fares in comparison to the PC version, the choice isn't quite so clear-cut. The open nature of the platform means that hardware upgrades and customisable graphics settings allow the user to dictate the resolution and frame-rate based around the compromises that are most important to them - so if you want a rock-solid 60fps and you're prepared to trade TressFX to achieve it, that's no problem at all.

Running with the ultimate preset enabled and the original TressFX in action, it's clear that the Definitive Edition delivers an upgrade in select areas, but fails to trump the PC game in all respects. Certainly, when it comes to running at 1080p60 - or with even higher resolutions and frame-rate - no other platform can truly offer a PC-beating experience.

http://www.eurogamer.net/articles/digitalfoundry-2014-tomb-raider-definitive-edition-next-gen-face-off

Ps4 runs smoother and looks better. So much for those saying the flame fluctuations made ps4 verison more juttery, simply not the case.

"no other platform can truly offer a PC-beating experience." don't think anyone in their right mind expects that

So the PS4 version is the definitive definitive edition that is, in fact, not definitive?

PS4 version looks better but runs worst than you can reach on PC... that's what the article are saying.

PC needs to receive a big patch with the Definitive enhancements.

Well there is life beyond 900p and 30fps. You either deal with it or brag it.

Is not 50-60 fps enough????, I prefer a version that looks better in 50-60 fps than a version with less advancements that runs at 60-80 fps.... I don't know why PC should be considered the best option like DF says...

Why? People dont like gaming on pc, have the money or the know how to properly use/maintain oone. typical strawman.

If you want a console ps4 gives the better gaming experience, looks better and is smoother to boot.. Funny you say geta  PC, where most of MS games end up like titanfall.

Not to mention a tonne of games never see the light of day on PC.

because it runs above full hd?

But, but... people told me people don't see the improvements of higher resolutions, that 900p is just fine....FPS and graphics effects are the KING!!.