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arxiv: 1509.08330 · v2 · pith:YJKLCELKnew · submitted 2015-09-28 · 🧮 math.DG · math.AP

Liouville theorem for warped ancient Ricci solutions

classification 🧮 math.DG math.AP
keywords ricciancientflowproductwarpedaffirmativelyanswerbehavior
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In this note, we answer affirmatively the question if a warped product of a compact manifold with a line as an ancient solution to the Ricci flow is trivial. We also consider the global behavior of the Type III warping product Ricci flow.

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