Robin functions for complex manifolds and applications
Complex Variables
2007-10-11 v1
Abstract
We prove a generalization of the second variation formula of the Robin function associated to a smooth variation of domains in C^N to the case of the c-Robin function associated to a smooth variation of domains in a complex manifold M equipped with a Hermitian metric and a smooth, nonnegative function c. Our purpose is that, with this added flexibility, we are able to give a criterion for a bounded, smoothly bounded, pseudoconvex domain D in a complex homogeneous space to be Stein.
Keywords
Cite
@article{arxiv.0710.1901,
title = {Robin functions for complex manifolds and applications},
author = {Kang-Tae Kim and Norman Levenberg and Hiroshi Yamaguchi},
journal= {arXiv preprint arXiv:0710.1901},
year = {2007}
}
Comments
126 pages, 2 figures