Affiliation:
1. Department of Mathematics, Indian Institute of Science, Bangalore 560012, India
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.
Funder
Prime Minister’s Research Fellowship (PMRF) programme
DST-FIST
Publisher
World Scientific Pub Co Pte Ltd