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arXiv · 1509.01668

A differential-geometric analysis of the Bergman representative map

Sungmin Yoo
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Abstract

We show that the exponential map of the Bochner connection on the restricted holomorphic tangent bundle of a complex manifold admitting the positive-definite Bergman metric coincides with the inverse of Bergman's representative map. We also present a generalization of the Lu theorem, as an application.

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Sungmin Yoo. 2015-09-05. A differential-geometric analysis of the Bergman representative map. https://doi.org/10.4064/ap170621-21-11

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