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- W4385152840 abstract "<abstract><p>Let $ f: M^nto mathbb{R}^{n+1}_1 $ be an $ n $-dimensional umbilic-free spacelike hypersurface in the $ (n+1) $-dimensional Lorentzian space $ mathbb{R}^{n+1}_1 $ with an induced metric $ I $. Let $ II $ be the second fundamental form and $ H $ the mean curvature of $ f $. One can define the conformal metric $ g = frac{n}{n-1}(|II|^2-nH^2)I $ on $ f(M^n) $, which is invariant under the conformal transformation group of $ mathbb{R}^{n+1}_1 $. If the Ricci curvature of $ g $ is constant, then the spacelike hypersurface $ f $ is called a conformal Einstein hypersurface. In this paper, we completely classify the $ n $-dimensional spacelike conformal Einstein hypersurfaces up to a conformal transformation of $ mathbb{R}^{n+1}_1 $.</p></abstract>" @default.
- W4385152840 created "2023-07-23" @default.
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- W4385152840 date "2023-01-01" @default.
- W4385152840 modified "2023-09-24" @default.
- W4385152840 title "Classification of spacelike conformal Einstein hypersurfaces in Lorentzian space $ mathbb{R}^{n+1}_1 $" @default.
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- W4385152840 doi "https://doi.org/10.3934/math.20231182" @default.
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