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Gauss-Bonnet for matrix conformally rescaled Dirac

2018
journal article
article
10.1063/1.4997381
Journal
Journal of Mathematical Physics
25
Author
Khalkhali Masoud

Sitarz Andrzej
Volume
59
Number
6
Article ID
063505
ISSN
0022-2488
eISSN
1527-2427
Language
English
Journal language
English
Abstract in English

We derive an explicit formula for the scalar curvature over a two-torus with a Dirac operator conformally rescaled by a globally diagonalizable matrix. We show that the Gauss-Bonnet theorem holds and extends the result to all Riemann surfaces with Dirac operators modified in the same way.

Affiliation
Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiego
Scopus© citations
8
cris.lastimport.wos2024-04-10T02:27:36Z
dc.abstract.enWe derive an explicit formula for the scalar curvature over a two-torus with a Dirac operator conformally rescaled by a globally diagonalizable matrix. We show that the Gauss-Bonnet theorem holds and extends the result to all Riemann surfaces with Dirac operators modified in the same way.pl
dc.affiliationWydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiegopl
dc.contributor.authorKhalkhali, Masoudpl
dc.contributor.authorSitarz, Andrzej - 100147 pl
dc.date.accessioned2018-08-14T09:52:55Z
dc.date.available2018-08-14T09:52:55Z
dc.date.issued2018pl
dc.description.number6pl
dc.description.volume59pl
dc.identifier.articleid063505pl
dc.identifier.doi10.1063/1.4997381pl
dc.identifier.eissn1527-2427pl
dc.identifier.issn0022-2488pl
dc.identifier.projectROD UJ / Opl
dc.identifier.urihttps://ruj.uj.edu.pl/xmlui/handle/item/56185
dc.languageengpl
dc.language.containerengpl
dc.rightsDodaję tylko opis bibliograficzny*
dc.rights.licenceBez licencji otwartego dostępu
dc.source.integratorfalse
dc.subtypeArticlepl
dc.titleGauss-Bonnet for matrix conformally rescaled Diracpl
dc.title.journalJournal of Mathematical Physicspl
dc.typeJournalArticlepl
dspace.entity.typePublication
cris.lastimport.wos
2024-04-10T02:27:36Z
dc.abstract.enpl
We derive an explicit formula for the scalar curvature over a two-torus with a Dirac operator conformally rescaled by a globally diagonalizable matrix. We show that the Gauss-Bonnet theorem holds and extends the result to all Riemann surfaces with Dirac operators modified in the same way.
dc.affiliationpl
Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiego
dc.contributor.authorpl
Khalkhali, Masoud
dc.contributor.authorpl
Sitarz, Andrzej - 100147
dc.date.accessioned
2018-08-14T09:52:55Z
dc.date.available
2018-08-14T09:52:55Z
dc.date.issuedpl
2018
dc.description.numberpl
6
dc.description.volumepl
59
dc.identifier.articleidpl
063505
dc.identifier.doipl
10.1063/1.4997381
dc.identifier.eissnpl
1527-2427
dc.identifier.issnpl
0022-2488
dc.identifier.projectpl
ROD UJ / O
dc.identifier.uri
https://ruj.uj.edu.pl/xmlui/handle/item/56185
dc.languagepl
eng
dc.language.containerpl
eng
dc.rights*
Dodaję tylko opis bibliograficzny
dc.rights.licence
Bez licencji otwartego dostępu
dc.source.integrator
false
dc.subtypepl
Article
dc.titlepl
Gauss-Bonnet for matrix conformally rescaled Dirac
dc.title.journalpl
Journal of Mathematical Physics
dc.typepl
JournalArticle
dspace.entity.type
Publication
Affiliations
Wydział Fizyki, Astronomii i Informatyki Stosowanej
Sitarz, Andrzej
No affiliation
Khalkhali, Masoud

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