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arXiv · 2308.07181

Kobayashi complete domains in complex manifolds

Rumpa Masanta
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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.

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Rumpa Masanta. 2023-08-14. Kobayashi complete domains in complex manifolds. https://doi.org/10.1142/s0129167x24500423

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