2 research outputs found
The -structures on complex line bundles and explicit Riemannian metrics with SU(4)-holonomy
We completely explore the system of ODE's which is equivalent to the
existence of a parallel -structure on the cone over a 7-dimensional
3-Sasakian manifold. The one-dimensional family of solutions of this system is
constructed. The solutions of this family correspond to metrics with holonomy
SU(4) which generalize the Calabi metrics.Comment: 11 page