New Minimal Hypersurfaces in R(k+1)(2k+1) and S(2k+3)k
Differential Geometry
2017-12-11 v2 High Energy Physics - Theory
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.
Keywords
Cite
@article{arxiv.1602.09101,
title = {New Minimal Hypersurfaces in R(k+1)(2k+1) and S(2k+3)k},
author = {Jens Hoppe and Georgios Linardopoulos and O. Teoman Turgut},
journal= {arXiv preprint arXiv:1602.09101},
year = {2017}
}
Comments
5 pages. Updated bibliography, proved non-emptiness of regular subset. Matches published version