Classification of spacelike conformal Einstein hypersurfaces in Lorentzian space $ \mathbb{R}^{n+1}_1 $

Let $ f: M^n\to \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 conf...

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Bibliographic Details
Main Authors: Yayun Chen, Tongzhu Li
Format: Article
Language:English
Published: AIMS Press 2023-07-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.20231182?viewType=HTML