Could you suggest a good survey paper on positive mass theorem?
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H. Bray's articles "Black Holes, Geometric Flows, and the Penrose Inequality in General Relativity" (Notices AMS, 2002) contains a very short, but elegant, survey of the positive mass theorem. He also has a longer survey that goes into several simpler cases. 


Maybe Markus Khuri's RTG notes would help? There's also a set of lecture notes by Rick Schoen for his 2009 course in Stanford on General Relativity, which has a nice discussion of the fundamental ideas involved in the proof of the PMT. I don't know if it is publich available on the internet though... 


Lecture notes (2009) by Rick Schoen on Relativity : 

