The Yang problem for complete bounded complex submanifolds: a survey
Antonio Alarcon
TL;DR
This survey reviews the history and recent advances in the Yang problem, which investigates the existence of complete bounded complex submanifolds within complex Euclidean spaces, highlighting open questions in the field.
Contribution
It compiles and discusses recent progress and unresolved questions related to the Yang problem for complete bounded complex submanifolds.
Findings
Summary of historical developments
Recent progress in the field
Open questions remaining in the Yang problem
Abstract
We survey the history as well as recent progress in the Yang problem concerning the existence of complete bounded complex submanifolds of the complex Euclidean spaces. We also point out some open questions on the topic.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Geometry and complex manifolds · Point processes and geometric inequalities