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Conformal regular spacelike hypersurfaces in a conformal space \(\mathbb {Q}^{n+1}_1\)

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Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Aims and scope Submit manuscript

Abstract

Let \(x: M \rightarrow \mathbb {Q}^{n+1}_1\) be an \(n (n\ge 4)\)-dimensional conformal regular spacelike hypersurface in the conformal space \(\mathbb {Q}^{n+1}_1\) with vanishing conformal form. If x is a conformal Blaschke isoparametric spacelike hypersurface in \(\mathbb {Q}^{n+1}_1\) with three distinct conformal principal curvatures, one of which is simple or x is of parallel conformal Blaschke tensor, we obtain some classification of such conformal regular spacelike hypersurface x.

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Acknowledgments

The authors would like to thank the referee for his/her careful reading of the original manuscript and many valuable comments that really improve the paper.

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Correspondence to Shichang Shu.

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Project supported by NSF of Shaanxi Province (SJ08A31) and NSF of Shaanxi Educational Committee (11JK0479).

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Shu, S., Chen, J. Conformal regular spacelike hypersurfaces in a conformal space \(\mathbb {Q}^{n+1}_1\) . RACSAM 111, 447–463 (2017). https://doi.org/10.1007/s13398-016-0306-2

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  • DOI: https://doi.org/10.1007/s13398-016-0306-2

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