New examples of Riemannian manifolds with structure group \(G_ 2\)

DOI10.1007/BF02844737zbMath0617.53050OpenAlexW2025187197WikidataQ115391471 ScholiaQ115391471MaRDI QIDQ1822068

Teresa Iglesias, Marisa Fernández

Publication date: 1986

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02844737

zbMATH Keywords

root systemssemisimple Lie algebrasgeneralized Heisenberg groupvector cross product7-dimensional manifolds

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) (G)-structures (53C10)

Related Items

\(\text{Spin}(7)\)-structures in principal fibre bundles over Riemannian manifolds with \(G_ 2\)-structure, Remarks on Hamiltonian structures in G2-geometry, Supersymmetry enhancement of heterotic horizons

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Riemannian manifolds with structure group \(G_ 2\)
• The sixteen classes of almost Hermitian manifolds and their linear invariants
• Vector cross products
• Weak holonomy groups
• Systeme von Richtungsfeldern in Sphären und stetige Lösungen komplexer linearer Gleichungen
• Sur les groupes d'holonomie homogènes de variétés à connexion affine et des variétés riemanniennes
• Construction and Properties of Some 6-Dimensional Almost Complex Manifolds
• Vector Cross Products on Manifolds