We study Ricci flows on R-n, n = 3, that evolve from rotationally symmetric, asymptotically. at initial data containing no embedded minimal hyperspheres. We show that in this case the flow is immortal, remains asymptotically. at, never develops a minimal hypersphere, and converges to. at Euclidean space as the time diverges to infinity. We discuss the behaviour of quasi-local mass under the flow, and relate this to a conjecture in string theory.
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