Uniqueness Of A Class Of Compact Gradient Ricci Solitons As Euclidean Hypersurfaces

In this paper,we study Ricci solitons as hypersurfaces in Euclidean space.We focus on the Ricci solitons whose potential function is the modular square of the position vector of hypersurfaces.The main result is a uniqueness theorem for such solitons,i.e.Theorem1 in this paper.