AI 中文总结
该研究证明Mazurowski与Yao的连续度量质量概念与Huisken等周质量一致，进而推导出渐近史瓦西型3流形质量参数的黎曼彭罗斯不等式。
AI 中文摘要
我们证明了Mazurowski与Yao新近针对连续度量引入的质量概念，在具有非负纯量曲率且度量为严格C^0渐近平直行为的光滑黎曼3流形上，与Huisken等周质量一致。由此，我们推导出渐近史瓦西型3流形质量参数的黎曼彭罗斯不等式。
英文摘要
We prove that the notion of mass recently introduced by Mazurowski and Yao for continuous metrics coincides with Huisken's isoperimetric mass on smooth Riemannian $3$-manifolds with nonnegative scalar curvature whose metric has sharp $C^0$-asymptotically flat behavior. As a consequence, we deduce a Riemannian Penrose inequality for the mass parameter of asymptotically Schwarzschildian $3$-manifolds.
Comments19 pages. Comments are welcome!
