### Abstract

We study a class of non-smooth asymptotically flat manifolds on which metrics fail to be C^{1} 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.

Original language | English (US) |
---|---|

Pages (from-to) | 1163-1182 |

Number of pages | 20 |

Journal | Advances in Theoretical and Mathematical Physics |

Volume | 6 |

Issue number | 6 |

State | Published - Nov 2002 |

Externally published | Yes |

### Fingerprint

### ASJC Scopus subject areas

- Physics and Astronomy(all)
- Mathematics(all)

### Cite this

**Positive Mass Theorem on manifolds admitting corners along a hypersurface.** / Miao, Pengzi.

Research output: Contribution to journal › Article

*Advances in Theoretical and Mathematical Physics*, vol. 6, no. 6, pp. 1163-1182.

}

TY - JOUR

T1 - Positive Mass Theorem on manifolds admitting corners along a hypersurface

AU - Miao, Pengzi

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.

UR - http://www.scopus.com/inward/record.url?scp=0038685480&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0038685480&partnerID=8YFLogxK

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 -