Ancient Solutions on Bundles with Non-abelian Structural Group
Differential Geometry
2016-10-26 v1
Abstract
We generalize the ancient solutions of the Ricci flow on certain principal bundles over compact quaternionic K\"ahler manifolds constructed by Bakas, Kong, and Ni to certain fibre bundles over a product of two compact quaternionic K\"ahler manifolds. The ancient solutions are of Type I, -noncollapsed, and have positive Ricci curvature. Analogous solutions on even-dimensional non-K\"ahlerian bundle spaces are also constructed.
Cite
@article{arxiv.1610.07706,
title = {Ancient Solutions on Bundles with Non-abelian Structural Group},
author = {Peng Lu and Y. K. Wang},
journal= {arXiv preprint arXiv:1610.07706},
year = {2016}
}
Comments
33 pages