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New minimal hypersurfaces in R(k+1)(2k+1) and S2k2+3k
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).
2017 (English)In: Mathematische Nachrichten, ISSN 0025-584X, E-ISSN 1522-2616, Vol. 290, no 17-18, p. 2874-2878Article in journal (Refereed) Published
Abstract [en]

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 the quadratic cone x(1)(2) + x(2)(2) + x(3)(2) - x(4)(2) - x(5)(2) - x(6)(2) = 0 resp. Hsiang's cubic su (4) invariant in R-15, H-k>2 (special harmonic SO (2k + 2)-invariant cones of degree >= 4) seem to be new.

Place, publisher, year, edition, pages
WILEY-V C H VERLAG GMBH , 2017. Vol. 290, no 17-18, p. 2874-2878
Keywords [en]
Differential Geometry, Minimal Hypersurfaces
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-221873DOI: 10.1002/mana.201600401ISI: 000419959100013OAI: oai:DiVA.org:kth-221873DiVA, id: diva2:1178734
Note

QC 20180130

Available from: 2018-01-30 Created: 2018-01-30 Last updated: 2018-01-30Bibliographically approved

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Hoppe, Jens

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