Mathematics – Classical Analysis and ODEs
Scientific paper
2007-12-27
Mathematics
Classical Analysis and ODEs
29 pages
Scientific paper
Assuming minimal regularity assumptions on the data, we revisit the classical problem of finding isometric immersions into the Minkowski spacetime for hypersurfaces of a Lorentzian manifold. Our approach encompasses metrics having Sobolev regularity and Riemann curvature defined in the distributional sense, only. It applies to timelike, spacelike, or null hypersurfaces with arbitrary signature that possibly changes from point to point.
LeFloch Philippe G.
Mardare Cristinel
Mardare Sorin
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