In this short note we present a result of Perelman with detailed proof. The result states that if g(t) is the Kähler Ricci flow on a compact, Kähler manifold M with c1 (M) > 0, the scalar curvature and diameter of (M, g(t)) stay uniformly bounded along the flow, for t ∈ [0, infin;). We learned about this result and its proof from Grigori Perelman when he was visiting MIT in the spring of 2003. This may be helpful to people studying the Kähler Ricci flow.
|Original language||English (US)|
|Number of pages||13|
|Journal||Journal of the Institute of Mathematics of Jussieu|
|State||Published - Jul 2008|
All Science Journal Classification (ASJC) codes
- Kähler Ricci flow
- Scalar curvature