Geometric structures associated with a simple Cartan 3-form

DOI10.1016/j.geomphys.2013.03.028zbMath1280.53030arXiv1103.1201OpenAlexW2006294436MaRDI QIDQ390865

Le Hong Van

Publication date: 9 January 2014

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.1201

zbMATH Keywords

\(G\)-structureCartan 3-formmulti-symplectic form

Mathematics Subject Classification ID

de Rham theory in global analysis (58A12) Calibrations and calibrated geometries (53C38) (G)-structures (53C10)

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Classification of $k$-forms on ${\bf R}^n$ and the existence of associated geometry on manifolds, Frölicher–Nijenhuis cohomology on G2- and Spin(7)-manifolds, Parallel calibrations and minimal submanifolds, Invariant connections and \(\nabla\)-Einstein structures on isotropy irreducible spaces, An invitation to multisymplectic geometry

Cites Work

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• Parallel calibrations and minimal submanifolds
• Jacobi equations on minimal homogeneous submanifolds in homogeneous Riemannian spaces
• Courbure intégrale généralisée et homotopie
• Some nondiffeomorphic homeomorphic homogeneous 7-manifolds with positive sectional curvature
• Categorified symplectic geometry and the classical string
• The isotropy subalgebra of the canonical 3-form of a semisimple Lie algebra
• Uniqueness of certain 3-dimensional homologically volume minimizing submanifolds in compact simple Lie groups
• The sixteen classes of almost Hermitian manifolds and their linear invariants
• Dolbeault cohomology for \(G_2\)-manifolds
• A generalization of the notion of instanton
• Lectures on real semisimple Lie algebras and their representations
• The geometry of three-forms in six dimensions.
• Rigidity of the Gauss map in compact Lie groups
• Riemannian manifolds with structure group PSU(3)
• Manifolds admitting stable forms