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A differential-geometric analysis of the Bergman representative map

Volume 120 / 2017

Sungmin Yoo Annales Polonici Mathematici 120 (2017), 163-181 MSC: 32C15, 53B35, 53C55. DOI: 10.4064/ap170621-21-11 Published online: 1 December 2017


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 Lu Qi Keng’s theorem, as an application.


  • Sungmin YooDepartment of Mathematics
    Pohang University of Science and Technology
    37673 Pohang, Republic of Korea

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