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Liouville theorem for warped ancient Ricci solutions

Differential Geometry 2015-10-21 v2 Analysis of PDEs

Abstract

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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Cite

@article{arxiv.1509.08330,
  title  = {Liouville theorem for warped ancient Ricci solutions},
  author = {Li Ma and Anqiang Zhu},
  journal= {arXiv preprint arXiv:1509.08330},
  year   = {2015}
}

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5 pages