Almost parallel structures

By S. Salamon. 2001

47 citations recorded by the source corpus.

A discussion of torsion of Riemannian G-structures leads to a survey of contributions of Alfred Gray and others on almost Hermitian manifolds, G_2-manifolds, curvature identities, volume expansions, plotting geodesics, and the geometry of nilmanifolds. The paper concludes with a new example of a compact 8-manifold with a quaternionic 4-form that is closed but not parallel.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/e73b72ff3f9f8c755560498fbac8a04de1e26780

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Sergei Gukov
2. R. Dijkgraaf
3. C. Vafa
4. J. Louis
5. Andrei Micu
6. D. Waldram
7. Andrew Neitzke
8. Sébastien Gurrieri

In Geometry and Topology

1. C. Vafa
2. R. Dijkgraaf
3. Sergei Gukov
4. Andrew Neitzke
5. D. Waldram
6. E. Witten
7. Marcos Mariño
8. J. Louis

Citations in the corpus

• Topological M-theory as unification of form theories of gravity (2004, background): “Its SU(3) representation content involves five classes, usually denoted Wi [86,87]: T ∈ W1 ⊕W2 ⊕W3 ⊕W4 ⊕W5.”
• Mirror symmetry in generalized Calabi–Yau compactifications ☆ (2002, background): “In appendix C we review some of the properties of such manifolds from a more mathematical point of view and for a more detailed discussion we refer the reader to the mathematics literature [34, 35, 36, 37, 38, 39].”