We consider solutions to the Ricci flow equation on a manifold X of dimension n . We say the solution is eternal if it is defined for all time -oo < t < oo. We are interested in solutions which are complete (which is a way of saying they are also defined for "all" of space) and which have their Riemannian curvature uniformly bounded for all space and time. This is a serious restriction; by the work of W. X. Shi [2] we know then that all the covariant derivatives of the curvature are bounded.
No takes yet. Share an insight, caveat, or question.
Richard S. Hamilton (1993) studied this question.
Synapse has enriched one closely related paper. Consider it for comparative context: