Associative submanifolds of the 7-sphere

DOI10.1112/plms/pds029zbMath1268.53019arXiv1006.0361OpenAlexW2062431600WikidataQ125376073 ScholiaQ125376073MaRDI QIDQ4898998

Jason Dean Lotay

Publication date: 4 January 2013

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.0361

zbMATH Keywords

rigidity resultsChen's inequality7-sphereassociative 3-folds

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) Rigidity results (53C24) Calibrations and calibrated geometries (53C38) Local submanifolds (53B25)

Related Items (9)

Harmonic \(\text{Sp}(2)\)-invariant \(\text{G}_2\)-structures on the 7-sphere ⋮ Associative submanifolds in Joyce's generalised Kummer constructions ⋮ Calibrated Submanifolds ⋮ Complex and Calibrated Geometry ⋮ McLean's second variation formula revisited ⋮ Gauge theory and \(\mathrm{G}_2\)-geometry on Calabi-Yau links ⋮ Deformations of conically singular Cayley submanifolds ⋮ Non-orientable three-submanifolds of \(G_{2}\)-manifolds ⋮ Calibrated submanifolds and reductions of \(G_{2}\)-manifolds

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