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arXiv · 1602.09101

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

Jens Hoppe·Georgios Linardopoulos·O. Teoman Turgut
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Abstract

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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Jens Hoppe, Georgios Linardopoulos, O. Teoman Turgut. 2017-09-16. New Minimal Hypersurfaces in R(k+1)(2k+1) and S(2k+3)k. https://doi.org/10.1002/mana.201600401

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