Worm domains are not Gromov hyperbolic
Leandro Arosio, Gian Maria Dall'Ara, Matteo Fiacchi
TL;DR
This paper proves that Worm domains do not exhibit Gromov hyperbolicity when measured with the Kobayashi distance, challenging assumptions about their geometric properties.
Contribution
The paper establishes that Worm domains are not Gromov hyperbolic, providing new insights into their complex geometric structure.
Findings
Worm domains are not Gromov hyperbolic.
Kobayashi distance does not induce hyperbolicity on Worm domains.
Abstract
We show that Worm domains are not Gromov hyperbolic with respect to the Kobayashi distance.
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Taxonomy
TopicsHolomorphic and Operator Theory · Geometric and Algebraic Topology · Analytic and geometric function theory