### Impacto

Lafuente López, Javier and Aguirre Dabán , Eduardo
(2006)
*Transverse Riemann-Lorentz type-changing metrics with tangent radical.*
Differential Geometry and Its Applications, 24
(2).
pp. 91-100.
ISSN 0926-2245

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Official URL: http://www.sciencedirect.com/science/article/pii/S0926224505000768

## 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.

Item Type: | Article |
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Uncontrolled Keywords: | Type-changing metrics; Curvature extendibility |

Subjects: | Sciences > Mathematics > Algebra |

ID Code: | 16460 |

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Deposited On: | 20 Sep 2012 09:06 |

Last Modified: | 07 Feb 2014 09:29 |

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