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Optimal transport on completely integrable toric manifolds

2021
journal article
article
10.1007/s12220-020-00482-3
Journal
The Journal of Geometric Analysis
100
Author
Myga Szymon
Volume
31
Pages
5359-5371
ISSN
1050-6926
eISSN
1559-002X
Keywords in English

Toric Kahler manifolds

Monge-Ampere equation

optimal transport

Language
English
Journal language
English
Abstract in English

Following the work of Berman and Witt Nyström we present the proof of existence and uniqueness of solutions to transported Monge-Ampère problem on complex compact manifolds with completely integrable torus action. The proof is based on the real theory of optimal transportation and some convex analysis.

Affiliation
Wydział Matematyki i Informatyki : Instytut Matematyki
cris.lastimport.wos2024-04-09T19:05:07Z
dc.abstract.enFollowing the work of Berman and Witt Nyström we present the proof of existence and uniqueness of solutions to transported Monge-Ampère problem on complex compact manifolds with completely integrable torus action. The proof is based on the real theory of optimal transportation and some convex analysis.pl
dc.affiliationWydział Matematyki i Informatyki : Instytut Matematykipl
dc.contributor.authorMyga, Szymon - 164728 pl
dc.date.accessioned2021-05-26T09:58:22Z
dc.date.available2021-05-26T09:58:22Z
dc.date.issued2021pl
dc.date.openaccess0
dc.description.accesstimew momencie opublikowania
dc.description.physical5359-5371pl
dc.description.versionostateczna wersja wydawcy
dc.description.volume31pl
dc.identifier.doi10.1007/s12220-020-00482-3pl
dc.identifier.eissn1559-002Xpl
dc.identifier.issn1050-6926pl
dc.identifier.project2018/29/N/ST1/02817pl
dc.identifier.projectROD UJ / OPpl
dc.identifier.urihttps://ruj.uj.edu.pl/xmlui/handle/item/271788
dc.languageengpl
dc.language.containerengpl
dc.rightsUdzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa*
dc.rights.licenceCC-BY
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/legalcode.pl*
dc.share.typeinne
dc.subject.enToric Kahler manifoldspl
dc.subject.enMonge-Ampere equationpl
dc.subject.enoptimal transportpl
dc.subtypeArticlepl
dc.titleOptimal transport on completely integrable toric manifoldspl
dc.title.journalThe Journal of Geometric Analysispl
dc.typeJournalArticlepl
dspace.entity.typePublication
cris.lastimport.wos
2024-04-09T19:05:07Z
dc.abstract.enpl
Following the work of Berman and Witt Nyström we present the proof of existence and uniqueness of solutions to transported Monge-Ampère problem on complex compact manifolds with completely integrable torus action. The proof is based on the real theory of optimal transportation and some convex analysis.
dc.affiliationpl
Wydział Matematyki i Informatyki : Instytut Matematyki
dc.contributor.authorpl
Myga, Szymon - 164728
dc.date.accessioned
2021-05-26T09:58:22Z
dc.date.available
2021-05-26T09:58:22Z
dc.date.issuedpl
2021
dc.date.openaccess
0
dc.description.accesstime
w momencie opublikowania
dc.description.physicalpl
5359-5371
dc.description.version
ostateczna wersja wydawcy
dc.description.volumepl
31
dc.identifier.doipl
10.1007/s12220-020-00482-3
dc.identifier.eissnpl
1559-002X
dc.identifier.issnpl
1050-6926
dc.identifier.projectpl
2018/29/N/ST1/02817
dc.identifier.projectpl
ROD UJ / OP
dc.identifier.uri
https://ruj.uj.edu.pl/xmlui/handle/item/271788
dc.languagepl
eng
dc.language.containerpl
eng
dc.rights*
Udzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa
dc.rights.licence
CC-BY
dc.rights.uri*
http://creativecommons.org/licenses/by/4.0/legalcode.pl
dc.share.type
inne
dc.subject.enpl
Toric Kahler manifolds
dc.subject.enpl
Monge-Ampere equation
dc.subject.enpl
optimal transport
dc.subtypepl
Article
dc.titlepl
Optimal transport on completely integrable toric manifolds
dc.title.journalpl
The Journal of Geometric Analysis
dc.typepl
JournalArticle
dspace.entity.type
Publication
Affiliations
Wydział Matematyki i Informatyki
Myga, Szymon

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