A differential-geometric analysis of the Bergman representative map

DOI10.4064/AP170621-21-11zbMATH Open1391.32005arXiv1509.01668OpenAlexW2138063922WikidataQ115218339 ScholiaQ115218339MaRDI QIDQ3130475

Sungmin Yoo

Publication date: 22 January 2018

Published in: Annales Polonici Mathematici (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/1509.01668

zbMATH Keywords

Bergman kernelBergman metricreal-analytic Kähler metric

Mathematics Subject Classification ID

Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)

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