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Transverse Riemann-Lorentz type-changing metrics with tangent radical

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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


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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.


Item Type:Article
Uncontrolled Keywords:Type-changing metrics; Curvature extendibility
Subjects:Sciences > Mathematics > Algebra
ID Code:16460
Deposited On:20 Sep 2012 09:06
Last Modified:12 Dec 2018 15:13

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