Ricci flow on locally homogeneous closed 4-manifolds
by Peng LU (University of Oregon)
Abstract:
We discuss the Ricci flow on homogeneous 4-manifolds.
After list the classification these manifolds,
we show that there are families of
initial metrics such that we can diagonalize them and the Ricci flow
preserves the diagonalization, then we analyze the long time behavior of
these families.