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New minimal hypersurfaces in RAPTARABOLDITALIC(k+1)(2k+1) and SAPTARABOLDITALIC2k2+3k

Jens Hoppe, Georgios Linardopoulos and O. Teoman Turgut

Mathematische Nachrichten, 2017, vol. 290, issue 17-18, 2874-2878

Abstract: We find a class of minimal hypersurfaces Hk as the zero level set of Pfaffians, resp. determinants of real 2k+2 dimensional antisymmetric matrices. While H1 and H2 are congruent to the quadratic cone x12+x22+x32−x42−x52−x62=0 resp. Hsiang's cubic su4 invariant in R15, Hk>2 (special harmonic SO2k+2†invariant cones of degree ⩾4) seem to be new.

Date: 2017
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https://doi.org/10.1002/mana.201600401

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