Positive Mass Theorem on manifolds admitting corners along a hypersurface

Pengzi Miao

Research output: Contribution to journal › Article

76 Citations (Scopus)

Abstract

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.

Original languageEnglish (US)
Pages (from-to)1163-1182
Number of pages20
JournalAdvances in Theoretical and Mathematical Physics
Volume6
Issue number6
StatePublished - Nov 2002
Externally publishedYes

Fingerprint

Hypersurface
theorems
Metric
Theorem
Flat Manifold
boundary conditions
Approximation Scheme
approximation
Boundary conditions
Class

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Mathematics(all)

Cite this

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

In: Advances in Theoretical and Mathematical Physics, Vol. 6, No. 6, 11.2002, p. 1163-1182.

Research output: Contribution to journal › Article

Miao, P 2002, 'Positive Mass Theorem on manifolds admitting corners along a hypersurface', Advances in Theoretical and Mathematical Physics, vol. 6, no. 6, pp. 1163-1182.
Miao P. Positive Mass Theorem on manifolds admitting corners along a hypersurface. Advances in Theoretical and Mathematical Physics. 2002 Nov;6(6):1163-1182.
Miao, Pengzi. / Positive Mass Theorem on manifolds admitting corners along a hypersurface. In: Advances in Theoretical and Mathematical Physics. 2002 ; Vol. 6, No. 6. pp. 1163-1182.
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