TL;DR
This paper introduces a new biholomorphically invariant metric derived from the Szego kernel, exploring its relation to existing metrics like Bergman and Carathéodory, and develops an invariant function from Szego and Bergman kernels.
Contribution
The paper presents a novel invariant metric based on the Szego kernel and establishes its connections with classical metrics, along with a new invariant function combining Szego and Bergman kernels.
Findings
New invariant metric based on Szego kernel
Relation established between the new metric and classical metrics
Development of an invariant function from Szego and Bergman kernels
Abstract
We introduce a new biholomorphically invariant metric based on Fefferman's invariant Szego kernel and investigate the relation of the new metric to the Bergman and Carath\'eodory metrics. A key tool is a new absolutely invariant function assembled from the Szego and Bergman kernels.
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Taxonomy
TopicsHolomorphic and Operator Theory · Geometry and complex manifolds · Geometric Analysis and Curvature Flows