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A note on Kähler–Ricci flow

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Abstract

Let g(t) with \({t\in [0,T)}\) be a complete solution to the Kähler–Ricci flow: \({\frac{d}{dt}g_{i\bar j}=-R_{i\bar j}}\) where T may be ∞. In this article, we show that the curvature of g(t) is uniformly bounded if the solution g(t) is uniformly equivalent. This result is stronger than the main result in Šešum (Am J Math 127(6):1315–1324, 2005) within the category of Kähler–Ricci flow.

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Authors and Affiliations

  1. Department of Mathematics, Shantou University, Shantou, Guangdong, People’s Republic of China

    Chengjie Yu

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  1. Chengjie Yu
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Correspondence to Chengjie Yu.

Additional information

C. Yu’s research was partially supported by the National Natural Science Foundation of China (11001161), (10901072) and GDNSF (9451503101004122).

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Yu, C. A note on Kähler–Ricci flow. Math. Z. 272, 191–201 (2012). https://doi.org/10.1007/s00209-011-0929-0

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  • DOI: https://doi.org/10.1007/s00209-011-0929-0

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