Special cohomogeneity one metrics with Q^111 or M^110 as principal orbit
Differential Geometry
2010-06-04 v1
Abstract
We classify all cohomogeneity one manifolds with principal orbit Q^111=SU(2)^3/U(1)^2 or M^110=(SU(3) x SU(2))/(SU(2) x U(1)) whose holonomy is contained in Spin(7). Various metrics with different kinds of singular orbits can be constructed by our methods. It turns out that the holonomy of our metrics is automatically SU(4) and that they are asymptotically conical. Moreover, we investigate the smoothness of the metrics at the singular orbit.
Keywords
Cite
@article{arxiv.0908.3965,
title = {Special cohomogeneity one metrics with Q^111 or M^110 as principal orbit},
author = {Frank Reidegeld},
journal= {arXiv preprint arXiv:0908.3965},
year = {2010}
}
Comments
37 pages, no figures