Harnack inequalities for Ricci flow in the light of the Canonical
Expanding Soliton
ABSTRACT
In this talk, we introduce the notion of Canonical Expanding
Ricci Soliton. Roughly speaking, given any Ricci flow on a manifold M
over a time interval I, we imagine the time direction as an additional
space direction and construct an expanding Ricci soliton on M x I with
respect to a completely new time direction. Then we will show how to
apply such a new construction to derive new Harnack inequalities for
Ricci flow.
This viewpoint also gives geometric insight into the existing Harnack
inequalities of Hamilton and Brendle.
Angelegt am 26.03.2010 von N. N
Geändert am 26.03.2010 von N. N
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