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Metrics on complex manifolds

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Abstract

In this note we discuss various canonical metrics on complex manifolds. A generalization of the Bergman metric is proposed and the relations of metrics on moduli spaces are commented. At last, we review some existence theorems of solutions to the Strominger system.

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Correspondence to Shing-Tung Yau.

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Dedicated to Professor Yang Lo on the Occasion of his 70th Birthday

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Yau, ST. Metrics on complex manifolds. Sci. China Math. 53, 565–572 (2010). https://doi.org/10.1007/s11425-010-0048-0

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  • DOI: https://doi.org/10.1007/s11425-010-0048-0

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