Kobayashi complete domains in complex manifolds
Complex Variables
2025-04-11 v1
Abstract
In this paper, we give sufficient conditions for Cauchy-completeness of Kobayashi hyperbolic domains in complex manifolds. The first result gives a sufficient condition for completeness for relatively compact domains in several large classes of manifolds. This follows from our second result, which may be of independent interest, in a much more general setting. This extends a result of Gaussier to the setting of manifolds.
Keywords
Cite
@article{arxiv.2308.07181,
title = {Kobayashi complete domains in complex manifolds},
author = {Rumpa Masanta},
journal= {arXiv preprint arXiv:2308.07181},
year = {2025}
}
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7 pages