发表机构
Stony Brook University（石溪大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文证明了对于与欧氏空间足够接近且具有弱非负标量曲率的$C^0$-渐近平坦度量，其$C^0$类比ADM质量非负，推广了正质量定理。
AI 中文摘要
我们证明了一个正质量定理，该定理适用于在弱意义下具有非负标量曲率且与欧氏空间足够一致接近的$C^0$-渐近平坦黎曼度量。更精确地说，我们证明了：一个$C^0$-渐近平坦黎曼度量，若它是欧氏空间的$C^0$扰动，且在Ricci流意义下具有非负标量曲率，则其质量非负，其中质量由作者先前引入的经典ADM质量的$C^0$类比定义给出。
英文摘要
We prove a Positive Mass Theorem for $C^0$-asymptotically flat Riemannian metrics with nonnegative scalar curvature in a weak sense that are sufficiently uniformly close to Euclidean space. More precisely, we show that a $C^0$-asymptotically flat Riemannian metric that is a $C^0$ perturbation of Euclidean space with nonnegative scalar curvature in the sense of Ricci flow has nonnegative mass, where the mass is given by a $C^0$ analog of the classical ADM mass previously introduced by the author.
Comments40 pages
