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Pseudo-isotropic Lorentzian centroaffine hypersurfaces 1 - MaRDI portal

Pseudo-isotropic Lorentzian centroaffine hypersurfaces 1 (Q824376)

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scientific article; zbMATH DE number 7445572
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Pseudo-isotropic Lorentzian centroaffine hypersurfaces 1
scientific article; zbMATH DE number 7445572

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    Pseudo-isotropic Lorentzian centroaffine hypersurfaces 1 (English)
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    15 December 2021
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    The paper studies pseudo-isotropic centroaffine hypersurfaces endowed of a Lorentzian metric and their embedding on \(\mathbb{R}^{n+1}\). Assuming that the square of tensor \(K\) defined by the difference of the induced connection and the Levi-Civita connection is non zero, the authors classify the pseudo-isotropic (Lorentzian) centroaffine hypersurfaces. They show that all of these hypersurfaces have the structure of a warped product and they exhibit the corresponding immersions into \(\mathbb{R}^{n+1}\).
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    centro affine hypersurfaces
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    Lorentzian metric
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    warped product
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