A differential-geometric analysis of the Bergman representative map
arXiv:1509.01668 · doi:10.4064/ap170621-21-11
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.