Ricci soliton biharmonic hypersurfaces in the Euclidean space | Zendy

Najma Mosadegh | Zendy; Esmaiel Abedi | Zendy; Mohammad Ilmakchi | Zendy

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Ricci soliton biharmonic hypersurfaces in the Euclidean space

Author(s) -

Najma Mosadegh,

Esmaiel Abedi,

Mohammad Ilmakchi

Publication year - 2021

Publication title -

ukrains’kyi matematychnyi zhurnal

Language(s) - English

Resource type - Journals

ISSN - 1027-3190

DOI - 10.37863/umzh.v73i7.495

Subject(s) - biharmonic equation , hypersurface , scalar curvature , mathematics , ricci curvature , soliton , euclidean space , mathematical physics , mathematical analysis , euclidean geometry , curvature , vector field , pure mathematics , physics , geometry , quantum mechanics , boundary value problem , nonlinear system

UDC 515.12We investigate biharmonic Ricci soliton hypersurfaces whose potential field satisfies certain conditions. We obtain a result based on the average scalar curvature of the compact Ricci soliton hypersurface where is a general vector field. Then we prove that there are no proper biharmonic Ricci soliton hypersurfaces in the Euclidean space provided that the potential field is either a principal vector in grad or .

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