Transverse Riemann-Lorentz metrics with tangent radical

E. Aguirre-Daban; J. Lafuente-Lopez

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Transverse Riemann-Lorentz metrics with tangent radical

E. Aguirre-Daban·J. Lafuente-Lopez

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Abstract

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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BibTeX RIS

E. Aguirre-Daban, J. Lafuente-Lopez. 2003-06-10. Transverse Riemann-Lorentz metrics with tangent radical. https://arxiv.org/abs/math/0306153

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