Publication: Transverse Riemann-Lorentz type-changing metrics with tangent radical
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Publication Date
2006-03
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Elsevier Science
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Abstract
Consider a smooth manifold with a smooth metric which changes bilinear type on a hypersurface Σ and whose radical line field is everywhere tangent to Σ. We describe two natural tensors on Σ and use them to describe “integrability conditions” which are similar to the Gauss–Codazzi conditions. We show that these forms control the smooth extendibility to Σ of ambient curvatures.
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