The mean curvature of first-order submanifolds in exceptional geometries with torsion

DOI10.1007/s10455-020-09735-4zbMath1466.53067arXiv1909.08119OpenAlexW3087876633MaRDI QIDQ2227504

Jesse Madnick, Gavin Ball

Publication date: 15 February 2021

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.08119

zbMATH Keywords

mean curvatureintrinsic torsionG-structureCayleyassociativecoassociative

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Issues of holonomy in differential geometry (53C29) Calibrations and calibrated geometries (53C38)

Related Items (1)

New \(G_2\)-conifolds in \(M\)-theory and their field theory interpretation

Cites Work

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• Riemannian manifolds with structure group \(G_ 2\)
• Calibrated geometries
• A classification of Riemannian manifolds with structure group Spin (7)
• Metrics with exceptional holonomy
• On mirror symmetry for manifolds of exceptional holonomy
• Supersymmetric cycles in exceptional holonomy manifolds and Calabi-Yau four-folds
• Mirror symmetry is \(T\)-duality
• Notes on the octonions

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