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The positive mass theorem for asymptotically flat manifolds with isolated conical singularities

  • Xianzhe Dai,
  • Yukai Sun,
  • Changliang Wang

摘要

We prove the positive mass theorem for asymptotically flat (AF for short) manifolds with finitely many isolated conical singularities. We do not impose the spin condition. Instead, we use the conformal blow-up technique which dates back to Schoen’s final resolution of the Yamabe conjecture.