I had heard the Muslim claim that Jesus escaped, but not the India part...
My understanding of the Muslim belief is that although Jesus wasn't crucified, killed, or ressurected, he
was assumed up into Heaven by God:
And their saying: Surely we have killed the Messiah, Isa son of Marium, the messenger of Allah; and they did not kill him nor did they crucify him, but it appeared to them so and most surely those who differ therein are only in a doubt about it; they have no knowledge respecting it, but only follow a conjecture, and they killed him not for sure. Nay! Allah took him up to Himself; and Allah is Mighty, Wise.
So no dying in India. In fact, no death at all.
The Muslims insist he escaped the cruxifiction and died in the Kashmir province of India.
Julian, you're referring to the "Swoon Hypothosis": that Jesus was crucified, taken down from the cross while still alive, then assumed a false name ("Yuz Asaf") while he travelled in India searching for the lost ten tribes of Israel, where he was worshipped by the Hindus until he died at the age of 120. This is considered a pretty wacky theory - even moreso than the DaVinci Code - and mainstream Muslims regard it as a heresy.