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Title
Nonexistence proper biharmonic HopfQR-hypersurfaces inthe quaternionic Euclidean space
Type of Research Article
Keywords
HopfQR-hypersurface; biharmonic hypersurface
Abstract
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.
Researchers NAJMA Mosadegh (First Researcher)، Esmaiel Abedi (Second Researcher)، Mohammad Ilmakchi (Third Researcher)