The $Spin(7)$-structures on complex line bundles and explicit Riemannian metrics with SU(4)-holonomy
Differential Geometry
2015-05-14 v3
Abstract
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.
Keywords
Cite
@article{arxiv.1001.1622,
title = {The $Spin(7)$-structures on complex line bundles and explicit Riemannian metrics with SU(4)-holonomy},
author = {Ya. V. Bazaikin and E. G. Malkovich},
journal= {arXiv preprint arXiv:1001.1622},
year = {2015}
}
Comments
11 pages