مشخصات پژوهش

In this paper we studied biharmonic HopfQR-hypersurfaces1in the quaternionic Euclidean space Qn. Indeed, we proved that the bi-2harmonic HopfQR-hypersurfaces in the quaternionic Euclidean space Qn3are minimal. Actually, it showed that the Weingarten operatorAof the4biharmonic HopfQR-hypersurfaces in the quaternionic Euclidean space5Qnhas exactly three distinct eigenvalues at each point.