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A Convergence Result of Ricci Flow on \(\mathbb{R}^{3}\) with Warped Product Metric

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Abstract

In this paper, we show that the Ricci flow on \(\mathbb{R}^{3}\) with warped product metric may converge to the product of the cigar with the real line under certain assumptions.

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Acknowledgements

A. Zhu was supported by NSF grant of China No. 11126190 and China Scholar council.

L. Cheng was supported by NSF grant of China No. 11201164.

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Correspondence to Anqiang Zhu.

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Communicated by Jiri Dadok.

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Zhu, A., Cheng, L. A Convergence Result of Ricci Flow on \(\mathbb{R}^{3}\) with Warped Product Metric. J Geom Anal 25, 1282–1294 (2015). https://doi.org/10.1007/s12220-013-9466-x

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  • DOI: https://doi.org/10.1007/s12220-013-9466-x

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