Multisymplectic 3-forms on 7-dimensional manifolds

DOI10.1016/j.difgeo.2018.01.004zbMath1393.53022arXiv1110.5605OpenAlexW1502129155WikidataQ115355188 ScholiaQ115355188MaRDI QIDQ1745789

Tomáš Salač

Publication date: 18 April 2018

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.5605

zbMATH Keywords

groups \(\operatorname{G}_2\) and \(\tilde{\operatorname{G}}_2\)multisymplectic 3-formsobstruction theory on 7-manifolds

Mathematics Subject Classification ID

Compact groups (22C05) Geometric applications of topological (K)-theory (19L64) (G)-structures (53C10)

Related Items (2)

Classification of $k$-forms on ${\bf R}^n$ and the existence of associated geometry on manifolds ⋮ Obstruction theory on 7-manifolds

Cites Work

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• Quaternionic structures
• New invariants of \(G_{2}\)-structures
• Obstruction theory on 8-manifolds
• Seminar on fiber spaces. Lectures delivered in 1964 in Berkeley and 1965 in Zürich. Berkeley notes by J. F. McClendon
• Classification of trivectors of an eight-dimensional real vector space
• Real trivectors of rank seven
• Vector-Bundle Monomorphisms with Finite Singularities
• Vector Cross Products on Manifolds
• Semisimple groups and Riemannian symmetric spaces

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