Asymptotic behavior of the complete Kahler-Einstein metric in tube domains
Sebastien Gontard
TL;DR
This paper investigates the asymptotic properties of the complete Kähler-Einstein metric within tube domains, providing estimates for the metric and its curvatures near boundary points with weak pseudoconvexity.
Contribution
It offers new estimates for the Kähler-Einstein metric and its curvatures near boundary points in tube domains, advancing understanding of their asymptotic behavior.
Findings
Derived estimates for the metric near boundary points
Analyzed holomorphic bisectional curvatures in boundary regions
Enhanced understanding of metric behavior in weakly pseudoconvex domains
Abstract
We study the complete Kahler-Einstein metric in tube domains. We obtain estimates of this metric and its holomorphic bisectional curvatures near the weakly pseudoconvex boundary points.
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Taxonomy
TopicsGeometry and complex manifolds · Holomorphic and Operator Theory · Analytic and geometric function theory