A differential-geometric analysis of the Bergman representative map
Complex Variables
2020-12-02 v3 Differential Geometry
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.
Cite
@article{arxiv.1509.01668,
title = {A differential-geometric analysis of the Bergman representative map},
author = {Sungmin Yoo},
journal= {arXiv preprint arXiv:1509.01668},
year = {2020}
}