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Marginally trapped submanifolds in Lorentzian space forms and in the Lorentzian product of a space form by the real line

par Anciaux, Henri ;Godoy, Yamile
Référence Journal of mathematical physics, 56, 2, 1.4906936
Publication Publié, 2015-02

Article révisé par les pairs

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Résumé :

We give local, explicit representation formulas for n-dimensional spacelike submanifolds which are marginally trapped in the Minkowski space R1n+2 , the de Sitter space dSn+2, the anti-de Sitter space AdSn+2 and the Lorentzian products Sn+1 × R and Hn+1 × R of the sphere and the hyperbolic space by the real line.