How did the Americans make sure their raid on Osama bin Laden wasn't misidentified as Pakistan's real enemy? This was surely a major planning constraint. It's been suggested, plausibly, that the bulk of their radar assets are positioned along the international border and the LOC, but once you get to Abbottabad you're not that far from the Line of Control. There's been a lot of interest in the helicopter that was destroyed, and specifically if it was either a hitherto unknown type or else a Blackhawk modified to be stealthy. But stealthy is a relative term, and a helicopter will never be really stealthy as its rotor blades are constantly changing aspect towards any radar source.
There's an interesting French paper here on Indian military doctrine - apparently, part of the lessons-learned exercise after the 2002 crisis and mobilisation was that the whole process took too long, and left far too many opportunities for the international community to get involved and yell "stop!". (This may not be the lesson one would hope had been learned.) As a result, they came up with a new doctrine, known as Cold Start, which foresaw a quicker response to provocation from Pakistan, using forces already posted nearer the border to carry out raids with limited territorial objectives, closely integrated with air power. The point that the objectives are limited in terms of territory is important - as I mentioned above, a lot of things in Pakistan are not far from the border. They might not be very limited in terms of importance, for example, nuclear sites or major headquarters, or perhaps key ISI or jihadi figures.
(Ah, we had one of those, didn't we?)
Obama's counter-terrorism advisor, John Brennan, was quoted as saying that the Pakistani air force scrambled its quick-reaction alert of fighters during the mission. This may of course be disinformation, or just wrong. It could imply that for a while at least, there was an elevated risk. Or perhaps the plan was designed to make it obvious that the helicopters were coming from the direction of Afghanistan, and they wanted the radars to detect them at some point during the operation...
It would be very interesting to know if the Indian government was informed at any point.