Biharmonic hypersurfaces in the standard Lorentz 5-pseudosphere

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Haghighatdoos G.; Hoseinpour S.; Pashaie F.; Shahbaz L.

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Journal Paper

Paper Information

Journal: JOURNAL OF MAHANI MATHEMATICAL RESEARCH Year:2025 | Volume:14 | Issue:2 Page(s): 203-219

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Information Journal Paper

Title

Biharmonic hypersurfaces in the standard Lorentz 5-pseudosphere

Author(s)

Haghighatdoos G. | Hoseinpour S. | Pashaie F. | Shahbaz L. | Issue Writer Certificate

Keywords

C-biharmonic

isoparametric

de-Sitter space

1-minimal

Abstract

In this manuscript, we study the Lorentz hypersurfaces of the Lorentz 5-pseudosphere (i.e. the pseudo-Euclidean 5-sphere) $S^5_1$ having three distinct principal curvatures. A well-known conjecture of Bang-Yen Chen on Euclidean spaces says that every submanifold is minimal. We consider an advanced version of the conjecture on Lorentz hypersurfaces of $S^5_1$. We present an affirmative answer to the extended conjecture on Lorentz hypersurfaces with three distinct principal curvatures.

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