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Here we present an alternative approach, requiring only basic tools ofdifferential geometry. This method was conceived by Kijowski and firstpresented during the IV Marcel Grossman Meeting on General Relativity in Rome(1986). It was later published in a generalized form by J. Jezierski, J.Kijowski in 1987 (Positivity of total energy in general relativity, PhysicalReview D {\bf 36} (1987), 1041-4). We summarize these results briefly andpresent a new foliation gauge.

Proof of Positive Energy Theorem by spacetime foliations