A new inductive dimension descent scheme extends the Schoen-Yau positive mass theorem to arbitrary dimensions using shielding principles, conformal blow-ups, and Cheeger-Naber singular set bounds.
Simon,Introduction to Geometric Measure Theory,available at https://math.stanford.edu/~lms/ntu-gmt-text.pdf
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A dimension descent scheme for the positive mass theorem in arbitrary dimension
A new inductive dimension descent scheme extends the Schoen-Yau positive mass theorem to arbitrary dimensions using shielding principles, conformal blow-ups, and Cheeger-Naber singular set bounds.