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Biconservative Lorentz hypersurfaces in $\mathbb{E}_{1}^{n+1}$ with complex eigenvalues
Volume 60, no. 2
(2019),
pp. 595–610
https://doi.org/10.33044/revuma.v60n2a20
Abstract
We prove that every biconservative Lorentz hypersurface $M_{1}^{n}$ in
$\mathbb{E}_{1}^{n+1}$ having complex eigenvalues has constant mean curvature.
Moreover, every biharmonic Lorentz hypersurface $M_{1}^{n}$ having complex
eigenvalues in $\mathbb{E}_{1}^{n+1}$ must be minimal. Also, we provide some
examples of such hypersurfaces.
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Published by the Unión Matemática Argentina |
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