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A Gehring–Hayman inequality for strongly pseudoconvex domains

2024
journal article
article
10.1093/imrn/rnae017
Journal
International Mathematics Research Notices
140
Author
Kosiński Łukasz

Nikolov Nikolai

Thomas Pascal J.
Volume
2024
Number
11
Pages
9165-9177
ISSN
1073-7928
eISSN
1687-0247
URL
https://academic.oup.com/imrn/article/2024/11/9165/7609749
Access date
2024-07-23
Language
English
Journal language
English
Abstract in English

We prove that if is a strongly pseudoconvex domain with -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.

Affiliation
Wydział Matematyki i Informatyki : Instytut Matematyki
Scopus© citations
3
dc.abstract.enWe 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.
dc.affiliationWydział Matematyki i Informatyki : Instytut Matematyki
dc.contributor.authorKosiński, Łukasz - 136119
dc.contributor.authorNikolov, Nikolai
dc.contributor.authorThomas, Pascal J.
dc.date.accession2024-07-23
dc.date.accessioned2024-07-23T05:49:58Z
dc.date.available2024-07-23T05:49:58Z
dc.date.issued2024
dc.date.openaccess0
dc.description.accesstimew momencie opublikowania
dc.description.number11
dc.description.physical9165-9177
dc.description.versionostateczna wersja wydawcy
dc.description.volume2024
dc.identifier.doi10.1093/imrn/rnae017
dc.identifier.eissn1687-0247
dc.identifier.issn1073-7928
dc.identifier.project2017/26/E/ST1/00723
dc.identifier.urihttps://ruj.uj.edu.pl/handle/item/389152
dc.identifier.weblinkhttps://academic.oup.com/imrn/article/2024/11/9165/7609749
dc.languageeng
dc.language.containereng
dc.rightsUdzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa
dc.rights.licenceCC-BY
dc.rights.simpleviewWolny dostęp
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/legalcode.pl
dc.share.typeinne
dc.subtypeArticle
dc.titleA Gehring–Hayman inequality for strongly pseudoconvex domains
dc.title.journalInternational Mathematics Research Notices
dc.typeJournalArticle
dspace.entity.typePublicationen
dc.abstract.en
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.
dc.affiliation
Wydział Matematyki i Informatyki : Instytut Matematyki
dc.contributor.author
Kosiński, Łukasz - 136119
dc.contributor.author
Nikolov, Nikolai
dc.contributor.author
Thomas, Pascal J.
dc.date.accession
2024-07-23
dc.date.accessioned
2024-07-23T05:49:58Z
dc.date.available
2024-07-23T05:49:58Z
dc.date.issued
2024
dc.date.openaccess
0
dc.description.accesstime
w momencie opublikowania
dc.description.number
11
dc.description.physical
9165-9177
dc.description.version
ostateczna wersja wydawcy
dc.description.volume
2024
dc.identifier.doi
10.1093/imrn/rnae017
dc.identifier.eissn
1687-0247
dc.identifier.issn
1073-7928
dc.identifier.project
2017/26/E/ST1/00723
dc.identifier.uri
https://ruj.uj.edu.pl/handle/item/389152
dc.identifier.weblink
https://academic.oup.com/imrn/article/2024/11/9165/7609749
dc.language
eng
dc.language.container
eng
dc.rights
Udzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa
dc.rights.licence
CC-BY
dc.rights.simpleview
Wolny dostęp
dc.rights.uri
http://creativecommons.org/licenses/by/4.0/legalcode.pl
dc.share.type
inne
dc.subtype
Article
dc.title
A Gehring–Hayman inequality for strongly pseudoconvex domains
dc.title.journal
International Mathematics Research Notices
dc.type
JournalArticle
dspace.entity.typeen
Publication
Affiliations
Wydział Matematyki i Informatyki
Kosiński, Łukasz
mathematics
No affiliation
Nikolov, Nikolai
Thomas, Pascal J.

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