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Questions tagged [ricci-flow]

4 questions from the last 365 days
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8 votes
1 answer
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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": ...
dennis's user avatar
  • 521
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 ...
Pradip Kumar Maity's user avatar
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 ("...
Misha Verbitsky's user avatar
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 ...
Emmie's user avatar
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