Transverse Riemann-Lorentz metrics with tangent radical

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Consider a smooth manifold with a smooth metric which changes bilinear type from Riemann to Lorentz on a hypersurface $Σ$ with radical tangent to $Σ$. Two natural bilinear symmetric forms appear there, and we use it to analyze the geometry of $Σ$. We show the way in which these forms control the smooth extensibility over $Σ$ of the covariant, sectional and Ricci curvatures of the Levi-Civita connection outside $Σ$.

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Differential Geometry, 53C50, 53B30, 53C15

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http://salesiana.dossiersoluciones.com/handle/123456789/67745

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0306153
 http://arxiv.org/abs/math/0306153

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arXiv