A Gehring–Hayman Inequality for Strongly Pseudoconvex Domains-Reference-Cited by-同舟云学术

A Gehring–Hayman Inequality for Strongly Pseudoconvex Domains

Published:2024-02-17 Issue:11 Volume:2024 Page:9165-9177
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Kosiński Łukasz¹,Nikolov Nikolai²³,Thomas Pascal J⁴

Affiliation:

1. Institute of Mathematics, Faculty of Mathematics and Computer Science , Jagiellonian University, Łojasiewicza 6, 30-348 Kraków, Poland

2. Institute of Mathematics and Informatics, Bulgarian Academy of Sciences , Acad. G. Bonchev 8, 1113 Sofia, Bulgaria

3. Faculty of Information Sciences, State University of Library Studies and Information Technologies , Shipchenski prohod 69A, 1574 Sofia, Bulgaria

4. Institut de Mathématiques de Toulouse; UMR5219 Université de Toulouse; CNRS UPS , F-31062 Toulouse Cedex 9, France

Abstract

Abstract We prove that if $D$ is a strongly pseudoconvex domain with $\mathcal C^{2, \alpha }$-smooth boundary, then the length of a geodesic for the Kobayashi–Royden infinitesimal metric between two points is bounded by a constant multiple of the Euclidean distance between the points.

Publisher

Oxford University Press (OUP)

Link

https://academic.oup.com/imrn/article-pdf/2024/11/9165/58123227/rnae017.pdf

Reference23 articles.

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2. Goldilocks domains, a weak notion of visibility, and applications;Bharali;Adv. Math.,2017

3. Comparison of invariant metrics and distances on strongly pseudoconvex domains and worm domains;Bracci;Math. Z.,2019

4. The pluricomplex Poisson kernel for strongly pseudoconvex domains;Bracci;Adv. Math.,2021

5. On boundary regularity of analytic discs;Chirka;Michigan Math. J.

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1. Holomorphic maps acting as Kobayashi isometries on a family of geodesics;Mathematische Zeitschrift;2024-08-11

2. The Gehring–Hayman type theorem on pseudoconvex domains of finite type in $$\mathbb {C}^2$$;Annali di Matematica Pura ed Applicata (1923 -);2024-06-05