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A Hermitian Curvature Flow

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Abstract

A Hermitian curvature flow on a compact Calabi-Yau manifold is proposed and a regularity result is obtained. The solution of the flow, if exists, is a balanced Hermitian-Einstein metric.

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Correspondence to Jixiang Fu or Jieming Yang.

Additional information

This work was supported by the National Natural Science Foundation of China (No. 11871016).

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Fu, J., Yang, J. A Hermitian Curvature Flow. Chin. Ann. Math. Ser. B 43, 845–854 (2022). https://doi.org/10.1007/s11401-022-0362-1

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  • DOI: https://doi.org/10.1007/s11401-022-0362-1

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