# Conformal flatness, non-Abelian Kaluza–Klein reduction and quaternions

@article{Maraner2011ConformalFN, title={Conformal flatness, non-Abelian Kaluza–Klein reduction and quaternions}, author={Paolo Maraner and Jiannis K. Pachos}, journal={Journal of Geometry and Physics}, year={2011}, volume={62}, pages={344-351} }

## References

SHOWING 1-10 OF 44 REFERENCES

### KALUZA–KLEIN REDUCTION OF CONFORMALLY FLAT SPACES

- Physics
- 2006

Kaluza–Klein reduction of conformally flat spaces is considered for arbitrary dimensions. The corresponding equations are particularly elegant for the reduction from four to three dimensions.…

### Quaternion Kählerian manifolds

- Mathematics
- 1974

A quaternion Kahlerian manifold is defined as a Riemannian manifold whose holonomy group is a subgroup of Sp(m) Sp(l) . Recently, several authors (Alekseevskii [1], [2], Gray [3], Ishihara [4],…

### On the geometry and classification of absolute parallelisms. II

- Mathematics
- 1972

8. The irreducible case Let (M, ds2) be a simply connected globally symmetric pseudo-riemannian manifold, and φ an absolute parallelism on M consistent with ds2. We assume (M, ds2) to be irreducible.…

### SPACES OF CONSTANT PARA-HOLOMORPHIC SECTIONAL CURVATURE

- Mathematics
- 1989

We consider the sectional curvatures for metric (J4 = 1)-manifolds, and study particularly the general expression of the metric and almostproduct structure in normal coordinates for para-Kaehlerian…

### A Survey on Paracomplex Geometry

- Mathematics
- 1996

We shall call paracomplex geometry the geometry related to the algebra of paracomplex numbers [70] and, mainly, the study of the structures on differentiable manifolds called paracomplex structures.…

### Indefinite quaternion space forms

- Mathematics
- 1982

SummaryWe define indefinite quaternion Kaehlerian manifolds proving that they are Einstein if its real dimension is ≧ 8and study some conditions for the constancy of the quaternionic sectional…

### riemannian geoemtry

- fiber bundles, kaluzaklein theories and all that, World Scientific
- 1988

### riemannian geoemtry

- fiber bundles, kaluzaklein theories and all that, World Scientific
- 1988