Geodesic
Lorentz Hypersurfaces satisfying $\triangle \vec {H}= \alpha \vec {H}$ with complex eigen values
Novi Sad Journal of Mathematics, Tome 46 (2016) no. 1.

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In this paper, we study Lorentz hypersurface $M_{1}^{n}$ in $E_{1}^{n+1}$ satisfying $\triangle \vec {H}= \alpha \vec {H}$ with minimal polynomial $[(y-\lambda)^{2}+\mu^{2}](y-\lambda_{1})(y-\lambda_{n})$ having shape operator \eqref{2.11}. We prove that every such Lorentz hypersurface in $E_{1}^{n+1}$ having at most four distinct principal curvatures has a constant mean curvature.
Publié le :
DOI : 10.30755/NSJOM.02673
Classification : 53D12, 53C40, 53C42
Keywords: Pseudo-Euclidean space, Biharmonic submanifolds, Mean curvature vector 
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     title = {Lorentz {Hypersurfaces
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     journal = {Novi Sad Journal of Mathematics},
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S. Deepika; Ram Shankar Gupta. Lorentz Hypersurfaces
satisfying $\triangle \vec {H}=  \alpha \vec {H}$ with complex eigen
values. Novi Sad Journal of Mathematics, Tome 46 (2016) no. 1. doi : 10.30755/NSJOM.02673. http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.02673/

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