Rotationally symmetric Ricci flow on asymptotically flat manifolds
Rotationally symmetric Ricci flow on asymptotically flat manifolds
We study Ricci flows on R n , n ≥ 3, that evolve from rotationally symmetric, asymptotically flat initial data containing no embedded minimal hyperspheres.We show that in this case the flow is immortal, remains asymptotically flat, never develops a minimal hypersphere, and converges to flat Euclidean space as the …