New Minimal Hypersurfaces in R(k+1)(2k+1) and S(2k+3)k

Georgios Linardopoulos; Jens Hoppe; O. Teoman Turgut

arxiv: 1602.09101 · v2 · pith:QV2R6SK5new · submitted 2016-02-29 · 🧮 math.DG · hep-th

New Minimal Hypersurfaces in R(k+1)(2k+1) and S(2k+3)k

Jens Hoppe , Georgios Linardopoulos , O. Teoman Turgut This is my paper

classification 🧮 math.DG hep-th

keywords dimensionalhypersurfacesinvariantminimalrespantisymmetricclasscone

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We find a class of minimal hypersurfaces H(k) as the zero level set of Pfaffians, resp. determinants of real 2k+2 dimensional antisymmetric matrices. While H(1) and H(2) are congruent to a 6-dimensional quadratic cone resp. Hsiang's cubic su(4) invariant in R15, H(k>2) (special harmonic so(2k+2)-invariant cones of degree>3) seem to be new.

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New Minimal Hypersurfaces in R(k+1)(2k+1) and S(2k+3)k

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