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Bridging Arbitrary and Tree Metrics via Differentiable Gromov Hyperbolicity

open access: bronze
Pierre Houédry   +4 more
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Pseudoconvexity and Gromov hyperbolicity

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, 1999
The authors give an estimate for the distance functions related to the Bergman, Carathéodory and Kobayashi metrics on a bounded strictly pseudoconvex domain with \(C^{2}\)-smooth boundary. This estimate relates the distance function on the domain with the Carnot-Carathéodory metric on the boundary.
Zoltán M. Balogh, Mario Bonk
openaire   +3 more sources

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