Journal article
Ancient solutions of the Ricci flow on bundles
Abstract
We generalize the circle bundle examples of ancient solutions of the Ricci flow discovered by Bakas, Kong, and Ni to a class of principal torus bundles over an arbitrary finite product of Fano Kähler–Einstein manifolds studied by Wang and Ziller in the context of Einstein geometry. As a result, continuous families of κ-collapsed and κ-noncollapsed ancient solutions of type I are obtained on circle bundles for all odd dimensions ≥7. In dimension …
Authors
Lu P; Wang YK
Journal
Advances in Mathematics, Vol. 318, , pp. 411–456
Publisher
Elsevier
Publication Date
October 2017
DOI
10.1016/j.aim.2017.08.011
ISSN
0001-8708