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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… Click to show full 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.
Keywords:
new minimal;
minimal hypersurfaces;
hypersurfaces raptarabolditalic;
raptarabolditalic saptarabolditalic2k2
Journal Title: Mathematische Nachrichten
Year Published: 2017
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Journal Title: Mathematische Nachrichten
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!