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The canonical shrinking soliton associated to a Ricci flow
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by
Esther Cabezas-Rivas
,
Peter M Topping
| Venue: | Calc. Var |
| Citations: | 8 - 2 self |
BibTeX
@ARTICLE{Cabezas-Rivas_thecanonical,
author = {Esther Cabezas-Rivas and Peter M Topping},
title = {The canonical shrinking soliton associated to a Ricci flow},
journal = {Calc. Var},
year = {},
pages = {1--2}
}
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Abstract
Abstract To every Ricci flow on a manifold M over a time interval I ⊂ R−, we associate a shrinking Ricci soliton on the space-time M×I. We relate properties of the original Ricci flow to properties of the new higher-dimensional Ricci flow equipped with its own time-parameter. This geometric construction was discovered by consideration of the theory of optimal transportation, and in particular the results of the second author
