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- W2945774080 abstract "In this paper, we study isometrically immersed spacelike hypersurfaces in the Lorentz- Minkowski space, whose position vector eld satises an extended version of biharmonicity condition, named L1-biharmonicity, where L1 stands for the linearized operator of the rst variation of the 2-th mean curvature arising from normal variations of Hypersurface. A well-known conjecture of Bang-Yen Chen says that any biharmonic Euclidean submanifold is minimal. We introduce and verify an advanced version of Chen's conjecture, replacing the Laplace operator by L1. For any spacelike hypersurface, having assumed that Mn has three distinct principal curvatures and constant ordinary mean curvature, we prove that it must be 1-maximal." @default.
- W2945774080 created "2019-05-29" @default.
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- W2945774080 date "2017-01-01" @default.
- W2945774080 modified "2023-09-26" @default.
- W2945774080 title "On L1-biharmonic hypersurfaces with constant mean curvature in the Lorentz-Minkowski space" @default.
- W2945774080 hasPublicationYear "2017" @default.
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