Abstract

A hypersurface x : Mⁿ → 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).

Keywords

W_r-minimal hypersurface, Willmore hypersurface, rotational hypersurface

Mathematical Subject Classification

Primary: 53A30

Secondary: 53C20

Authors