May 17, 2024Open Access

Kobayashi complete domains in complex manifolds

Key Points

Key points are not available for this paper at this time.

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.

Read Full Paperexternally

Bookmark

View Full Paper

Cite This Study

Rumpa Masanta (Fri,) studied this question.

synapsesocial.com/papers/68e6999bb6db64358761f48a https://doi.org/https://doi.org/10.1142/s0129167x24500423

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1The metric compactification of a Kobayashi hyperbolic complex manifold and a Denjoy–Wolff theorem2026
2The metric compactification of a Kobayashi hyperbolic complex manifold and a Denjoy--Wolff Theorem2025
3Visibility domains relative to the Kobayashi distance in complex manifolds2025
4Visibility domains relative to the Kobayashi distance in complex manifolds2024
5Properties and examples of Kobayashi hyperbolic Riemannian manifolds2025

Bookmark

View Full Paper