A differential-geometric analysis of the Bergman representative map
Volume 120 / 2017
Annales Polonici Mathematici 120 (2017), 163-181
MSC: 32C15, 53B35, 53C55.
DOI: 10.4064/ap170621-21-11
Published online: 1 December 2017
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 Lu Qi Keng’s theorem, as an application.
