Homogeneous nearly Kähler manifolds (Q1759650)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Homogeneous nearly Kähler manifolds |
scientific article |
Statements
Homogeneous nearly Kähler manifolds (English)
0 references
21 November 2012
0 references
A simply connected homogeneous strict nearly Kähler manifold is a Riemannian product of irreducible homogeneous strict nearly Kähler spaces which are also 3-symmetric. In this work the authors present the exhaustive list of these irreducible factors making use of the classification of 3-symmetric spaces. In addition, a study of Riemannian invariants of strict nearly Kähler manifolds allows them, for instance, to identify those which are Einstein.
0 references
nearly Kähler
0 references
homogeneous space
0 references
3-symmetric space
0 references
intrinsic torsion
0 references
minimal connection
0 references
