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

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  • Jens Hoppe
  • Georgios Linardopoulos
  • O. Teoman Turgut

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.

Suggested Citation

  • Jens Hoppe & Georgios Linardopoulos & O. Teoman Turgut, 2017. "New minimal hypersurfaces in RAPTARABOLDITALIC(k+1)(2k+1) and SAPTARABOLDITALIC2k2+3k," Mathematische Nachrichten, Wiley Blackwell, vol. 290(17-18), pages 2874-2878, December.
    • Handle: RePEc:bla:mathna:v:290:y:2017:i:17-18:p:2874-2878
    DOI: 10.1002/mana.201600401
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