Invariance of Diederich-Fornaess index
Jihun Yum
TL;DR
This paper proves that the Diederich-Fornaess index remains unchanged under CR-diffeomorphisms in Stein manifolds, and enhances the CR-extension theorem to support this invariance.
Contribution
It establishes the invariance of the Diederich-Fornaess index under CR-diffeomorphisms and improves the CR-extension theorem.
Findings
Diederich-Fornaess index is invariant under CR-diffeomorphisms
Improved CR-extension theorem for Stein manifolds
Enhanced understanding of domain invariants in complex analysis
Abstract
We show that the Diederich-Fornaess index of a domain in a Stein manifold is invariant under CR-diffeomorphisms. For this purpose we also improve CR-extension theorem.
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Taxonomy
TopicsHolomorphic and Operator Theory · Geometric and Algebraic Topology · Geometry and complex manifolds