Najma Mosadegh

• Azarbaijan Shahid Madani University

We investigate biharmonic Ricci soliton hypersurfaces (Mn, g, 𝜉, ⋋) whose potential field 𝜉 satisfies certain conditions. We obtain a result based on the average scalar curvature of the compact Ricci soliton hypersurface Mn, where 𝜉 is a general vector field. Then we prove that there are no proper biharmonic Ricci soliton hypersurfaces in the Eucli...

In this article, we study the biharmonic hypersurfaces in the Sasakian space form with the induced metric of tensor Ricci. We find the existence necessary and sufficient condition of the biharmonic hypersurfaces there. We show that the biharmonic Hopf hypersurfaces are minimal where gradient of the mean curvature is in direction of the structural v...

In this paper, close surfaces are considered in 3-dimensional harmonic conformally flat space in point of the variation. It is shown that if the conformal vector field be tangent to surface and the sign of the mean curvature does not change then surface is minimal. Also, it is determined that the critical point of mean curvature functional is homeo...

We show how some of well-known recurrent operators such as recurrent curvature operator, recurrent Ricci operator, recurrent Jacobi operator, recurrent shape and Weyl operators have the significant role for biharmonic hypersurfaces to be minimal in the Euclidean space.

UDC 515.12 We 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...

We find the necessary and sufficient condition for the proper biharmonic CMC hypersurfaces in the special warped product space. Furthermore, we obtain that there exists no proper biharmonic CMC compact hypersurface there.

In this article we consider the concept of biharmonicity about the hypersurfaces in the Sasakian space form which is equipped with the Tanaka-Webster connection.

In this article, it was shown that the biharmonic hypersurfaces in Euclidean space with recurrent Ricci operator are minimal. Infact, the biharmonic hypersurfaces with recurrent Ricci operator in E n+1 have at most three distinct principal curvatures. Consequently, we obtained the result.

In this article, it was shown that the biharmonic hypersurfaces in Euclidean space with recurrent operator are minimal. Infact, the biharmonic hypersurfaces with recurrent curvature operator, in E n+1 have at most three distinct principal curvatures. Also, it followed the locally symmetric biharmonic hypersurfaces in Euclidean space E n+1 are minim...