Ricci soliton biharmonic hypersurfaces in the Euclidean space

• Date: 2021
• Main Authors: Mosadegh, N., Abedi, E., Ilmakchi, M., Ilmakchi, Mohammad
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2021
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/495
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 515.12 We investigate biharmonic Ricci soliton hypersurfaces $(M^n, g,\xi, \lambda)$ whose potential field $\xi$ satisfies certain conditions. We obtain a result based on the average scalar curvature of the compact Ricci soliton hypersurface $M^n$ where $\xi$ is a general vector field. Then we p...