Questions tagged [ricci-flow]
The ricci-flow tag has no usage guidance.
4 questions from the last 365 days
8
votes
1
answer
1k
views
Philosophy behind the Ricci flow
I don't know if my question is too simple for this forum but let me proceed.
In Ricci flow one equips a smooth manifold $M$ with a Riemannian metric $g_0$ and evolves the metric with "time": ...
2
votes
1
answer
99
views
What does it mean when one says the inequality must be understood in the barrier sense, when necessary?
What does it mean when one says the inequality must be understood in the barrier sense, when necessary?
I encountered this notion when I was reading Perelman's paper "The entropy formula for the ...
4
votes
2
answers
250
views
Locality of Kähler-Ricci flow
Let $(M,I, \omega)$ be a compact Kähler manifold with $c_1(M)=0$. Denote by $\operatorname{Ric}^{1,1}(\omega)$ the Ricci (1,1)-form, that is, the curvature of the canonical bundle. It is known ("...
3
votes
1
answer
371
views
Ricci flow and curvature
I am trying to read about geometric flows mainly Ricci flows. I have a question in mind, which I am not sure whether it's possible or not.
So my question is if one starts with a metric that has mostly ...