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New minimal hypersurfaces in and

New minimal hypersurfaces in and

Abstract We find a class of minimal hypersurfaces as the zero level set of Pfaffians, resp. determinants of real dimensional antisymmetric matrices. While and are congruent to the quadratic cone resp. Hsiang's cubic invariant in , (special harmonic ā€invariant cones of degree ā©¾4) seem to be new.