\(G^*_{2(2)}\)-structures on pseudo-Riemannian manifolds

DOI10.1016/S0393-0440(97)00073-9zbMath0957.53018WikidataQ115338801 ScholiaQ115338801MaRDI QIDQ1299168

Ines Kath

Publication date: 28 March 2001

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

zbMATH Keywords

pseudo-Riemannian manifoldsKilling spinor fields

Mathematics Subject Classification ID

Spin and Spin({}^c) geometry (53C27) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) (G)-structures (53C10)

Related Items

Classification of compact homogeneous spaces with invariant G2-structures, A non Ricci-flat Einstein pseudo-Riemannian metric on a 7-dimensional nilmanifold, Highly symmetric 2-plane fields on 5-manifolds and 5-dimensional Heisenberg group holonomy, Symmetries of almost complex structures and pseudoholomorphic foliations, Non-degenerate para-complex structures in 6D with large symmetry groups, Local type III metrics with holonomy in \(\mathrm{G}_2^\ast\), Geometry and holonomy of indecomposable cones, Timelike duality, \(M'\)-theory and an exotic form of the Englert solution, Holonomy groups of ${{G}_{2}^*}$-manifolds, Homogeneous almost complex structures in dimension 6 with semi-simple isotropy, On the relation between \(G_2^*\) structures and almost paracontact structures, Almost paracontact structures obtained fromG2(2)structures, The geometry of almost Einstein \((2,3,5)\) distributions, Local Type II metrics with holonomy in \(\mathrm{G}_2^*\), Almost complex structures in 6D with non-degenerate Nijenhuis tensors and large symmetry groups, Seiberg-Witten like equations on pseudo-Riemannian \(\mathrm{Spin}^c\) manifolds with \(G_{2(2)}^\ast\) structure, Decomposable (4, 7) solutions in eleven-dimensional supergravity, Pseudo-Riemannian \(T\)-duals of compact Riemannian homogeneous spaces, Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Metrics with exceptional holonomy
• On nearly parallel \(G_2\)-structures
• Pseudo-Riemannian \(T\)-duals of compact Riemannian homogeneous spaces
• On the construction of some complete metrics with exceptional holonomy
• Tabellen zu den einfachen Lie Gruppen und ihren Darstellungen
• Weak holonomy groups
• Vector Cross Products on Manifolds