Rotational λ – hypersurfaces in Euclidean spaces

Self-similar flows arise as special solution of the mean curvature flow that preserves the shape of the evolving submanifold. In addition, hypersurfaces are the generalization of self-similar hypersurfaces. In the present article we consider hypersurfaces in Euclidean spaces which are the generalization of self-shrinkers. We obtained some results related with rotational hypersurfaces in Euclidean space to become self-shrinkers. Furthermore, we classify the general rotational hypersurfaces with constant mean curvature. As an application, we give some examples of self-shrinkers and rotational hypersurfaces in .