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Smooth approximations of the conical Kähler–Ricci flows

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In this note, we show that the conical Kähler–Ricci flows introduced in Chen and Wang (Bessel functions, Heat kernel and the conical Kähler–Ricci flow. J. Funct. Anal. 269(2), 2013) exist for all time \(t\in [0,\infty )\) in the weak sense as in Definition 1.2. As a key ingredient of the proof, we show that a conical Kähler–Ricci flow is actually the limit of a sequence of smooth Kähler–Ricci flows.

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Acknowledgments

This is a side project which grows out of a joint project with Prof Xiuxiong Chen on the conical KRFs. The author would like to thank Prof Chen for kindly suggesting this project and for his constant support over years. The author also would like to thank Chengjian Yao for related discussions.

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  1. Department of Mathematics, University of California at Santa Barbara, Santa Barbara, CA, USA

    Yuanqi Wang

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  1. Yuanqi Wang
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Correspondence to Yuanqi Wang.

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Wang, Y. Smooth approximations of the conical Kähler–Ricci flows. Math. Ann. 365, 835–856 (2016). https://doi.org/10.1007/s00208-015-1263-3

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  • DOI: https://doi.org/10.1007/s00208-015-1263-3

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