Frölicher–Nijenhuis Bracket on Manifolds with Special Holonomy

DOI10.1007/978-1-0716-0577-6_8zbMath1448.53030arXiv1810.12714OpenAlexW2899032663MaRDI QIDQ5119721

Lorenz J. Schwachhöfer, Kotaro Kawai, Le Hong Van

Publication date: 1 September 2020

Published in: Lectures and Surveys on G2-Manifolds and Related Topics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.12714

zbMATH Keywords

deformation theorycalibrated submanifoldspecial holonomyFrölicher-Nijenhuis bracketcohomology invariant

Mathematics Subject Classification ID

Calibrations and calibrated geometries (53C38) (G)-structures (53C10) Manifolds of metrics (especially Riemannian) (58D17)

Cites Work

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• Calibrated geometries
• Deformations of calibrated submanifolds
• Introduction to sh Lie algebras for physicists
• Lagrangian submanifolds in strict nearly Kähler 6-manifolds
• The Frölicher-Nijenhuis bracket and the geometry of \(G_2\)-and spin(7)-manifolds
• Higher derived brackets and homotopy algebras
• Frölicher–Nijenhuis cohomology on G2- and Spin(7)-manifolds

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