CALIBRATED SUBMANIFOLDS OF ℝ7 AND ℝ8 WITH SYMMETRIES

DOI10.1093/qmath/hal015zbMath1153.53322arXivmath/0601764OpenAlexW2019534451MaRDI QIDQ3529157

Jason Dean Lotay

Publication date: 20 October 2008

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0601764

zbMATH Keywords

\(U(1)\)-invariant associative conesassociative 3-foldsCayley 4-foldscoassociative 4-folds

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Calibrations and calibrated geometries (53C38) Nonassociative division algebras (17A35)

Related Items (6)

Bryant-Salamon \(\mathrm{G}_2\) manifolds and coassociative fibrations ⋮ Calibrated Submanifolds ⋮ Cayley fibrations in the Bryant-Salamon Spin(7) manifold ⋮ Conjectures on counting associative 3-folds in 𝐺₂-manifolds ⋮ Ruled Lagrangian submanifolds of the 6-sphere ⋮ Calibrated submanifolds and reductions of \(G_{2}\)-manifolds

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