Biharmonic hypersurfaces in the standard Lorentz 5-pseudosphere

Articles in Press

Document Type : Research Paper

Authors

1 Department of Mathematics, Faculty of Sciences, Azarbaijan Shahid Madani University, Tabriz, Iran

2 Department of Mathematics, Faculty of Basic Sciences, University of Maragheh, Maragheh, Iran

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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References

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Journal of Mahani Mathematical Research

Articles in Press, Accepted Manuscript
Available Online from 02 March 2025

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History

  • Receive Date: 04 November 2024
  • Revise Date: 29 January 2025
  • Accept Date: 01 March 2025

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