Positive Mass Theorem on Manifolds admitting Corners along a Hypersurface
Positive Mass Theorem on Manifolds admitting Corners along a Hypersurface
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DOI：
10.4310/atmp.2002.v6.n6.a4
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发表时间：
2002-12
期刊：
影响因子：
--
通讯作者：
P. Miao
中科院分区：
文献类型：
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作者：
P. Miao
我们研究了一类非光滑渐近平坦流形，其上的度量不是超曲面$\Sigma$上的$C^1$。我们首先给出一个近似方案来缓和度量，然后我们证明了如果由$\Sigma$分隔的度量满足几何边界条件，则正质量定理仍然在这些流形上成立。
We study a class of non-smooth asymptotically flat manifolds on which metrics fails to be $C^1$ across a hypersurface $\Sigma$. We first give an approximation scheme to mollify the metric, then we prove that the Positive Mass Theorem still holds on these manifolds if a geometric boundary condition is satisfied by metrics separated by $\Sigma$.