Preprint 53/1998

Positive mass theorem for hypersurface in 5-dimensional Lorentzian manifolds

Xiao Zhang

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Submission date: 16. Nov. 1998
Pages: 18
published in: Communications in analysis and geometry, 8 (2000) 3, p. 635-652 
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Abstract:
We adapt Witten's method and the analytic arguments of Parker and Taubes to tex2html_wrap_inline7 structures on orientable 4-dimensional manifolds. This yields a Positive Mass Theorem for spacelike hypersurfaces in 5-dimensional Lorentzian manifolds, which includes electromagnetic fields. We also prove an analogous one for 4-dimensional Lorentzian manifolds.

23.06.2018, 02:10