New examples of W-r-minimal hypersurfaces in a sphere

摘要

A hypersurface x : M-n -> Sn+1(1) is called a W-r-minimal hypersurface if it is a critical hypersurface of the Generalized Willmore functional. In this paper, we give some new nontrivial examples of W-r-minimal hypersurfaces of Sn+1( 1).