TY - JOUR
T1 - Positive Mass Theorem on manifolds admitting corners along a hypersurface
AU - Miao, Pengzi
N1 - Copyright:
Copyright 2017 Elsevier B.V., All rights reserved.
PY - 2002/11
Y1 - 2002/11
N2 - We study a class of non-smooth asymptotically flat manifolds on which metrics fail to be C1 across a hypersurface Σ. We first give an approximation scheme to mollify the metric, then we show that the Positive Mass Theorem [8] still holds on these manifolds if a geometric boundary condition is satisfied by metrics separated by Σ.
AB - We study a class of non-smooth asymptotically flat manifolds on which metrics fail to be C1 across a hypersurface Σ. We first give an approximation scheme to mollify the metric, then we show that the Positive Mass Theorem [8] still holds on these manifolds if a geometric boundary condition is satisfied by metrics separated by Σ.
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U2 - 10.4310/ATMP.2002.v6.n6.a4
DO - 10.4310/ATMP.2002.v6.n6.a4
M3 - Article
AN - SCOPUS:0038685480
VL - 6
SP - 1163
EP - 1182
JO - Advances in Theoretical and Mathematical Physics
JF - Advances in Theoretical and Mathematical Physics
SN - 1095-0761
IS - 6
ER -