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arXiv · 2401.07186

Positive mass theorem for asymptotically flat manifolds with isolated conical singularities

Xianzhe Dai·Yukai Sun·Changliang Wang
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Abstract

We prove the positive mass theorem for asymptotical 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.

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Xianzhe Dai, Yukai Sun, Changliang Wang. 2024-01-14. Positive mass theorem for asymptotically flat manifolds with isolated conical singularities. https://arxiv.org/abs/2401.07186

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