\(\text{Spin}(7)\)-structures in principal fibre bundles over Riemannian manifolds with \(G_ 2\)-structure
From MaRDI portal
Publication:1897632
DOI10.1007/BF02850834zbMath0831.53019WikidataQ115391413 ScholiaQ115391413MaRDI QIDQ1897632
Publication date: 12 February 1996
Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)
Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) (G)-structures (53C10) Fiber bundles in algebraic topology (55R10)
Related Items (4)
An integral formula for \(G_2\)-structures ⋮ \(SU(3)\)-structures on submanifolds of a Spin(7)-manifold ⋮ SU(3)-structures on hypersurfaces of manifolds with \(G_2\)-structure ⋮ Spinorial classification of Spin(7) structures
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Riemannian manifolds with structure group \(G_ 2\)
- Principal fibre bundles with the 1-dimensional toroidal group
- A classification of Riemannian manifolds with structure group Spin (7)
- An example of a compact calibrated manifold associated with the exceptional Lie group \(G_ 2\)
- Metrics with exceptional holonomy
- Alcune osservazioni riguardanti i gruppi di Lie \(G_ 2\) e Spin(7), candidati a gruppi di olonomia
- New examples of Riemannian manifolds with structure group \(G_ 2\)
- On the construction of some complete metrics with exceptional holonomy
- Vector cross products
- Some examples of almost Hermitian manifolds
- Sur les groupes d'holonomie homogènes de variétés à connexion affine et des variétés riemanniennes
- Classification of G 2 -Structures
- Vector Cross Products on Manifolds
- A Theorem on Holonomy
This page was built for publication: \(\text{Spin}(7)\)-structures in principal fibre bundles over Riemannian manifolds with \(G_ 2\)-structure
