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Some inequalities and applications of Simons’ type formulas in Riemannian, affine, and statistical geometry

2022
journal article
article
10.1007/s12220-021-00828-5
Journal
The Journal of Geometric Analysis
100
Author
Opozda Barbara
Volume
32
Article ID
108
ISSN
1050-6926
eISSN
1559-002X
Keywords in English

statistical structure

affine hypersurface

Lagrangian submanifold

Simons’ formula

Yau’s maximum principle

Language
English
Journal language
English
Abstract in English

A few formulas and theorems for statistical structures are proved. They deal with various curvatures as well as with metric properties of the cubic form or its covariant derivative. Some of them generalize formulas and theorems known in the case of Lagrangian submanifolds or affine hypersurfaces.

Affiliation
Wydział Matematyki i Informatyki : Instytut Matematyki
Scopus© citations
4
cris.lastimport.wos2024-04-09T18:38:09Z
dc.abstract.enA few formulas and theorems for statistical structures are proved. They deal with various curvatures as well as with metric properties of the cubic form or its covariant derivative. Some of them generalize formulas and theorems known in the case of Lagrangian submanifolds or affine hypersurfaces.pl
dc.affiliationWydział Matematyki i Informatyki : Instytut Matematykipl
dc.contributor.authorOpozda, Barbara - 131177 pl
dc.date.accessioned2022-05-16T20:58:03Z
dc.date.available2022-05-16T20:58:03Z
dc.date.issued2022pl
dc.date.openaccess0
dc.description.accesstimew momencie opublikowania
dc.description.versionostateczna wersja wydawcy
dc.description.volume32pl
dc.identifier.articleid108pl
dc.identifier.doi10.1007/s12220-021-00828-5pl
dc.identifier.eissn1559-002Xpl
dc.identifier.issn1050-6926pl
dc.identifier.urihttps://ruj.uj.edu.pl/xmlui/handle/item/292044
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.enstatistical structurepl
dc.subject.enaffine hypersurfacepl
dc.subject.enLagrangian submanifoldpl
dc.subject.enSimons’ formulapl
dc.subject.enYau’s maximum principlepl
dc.subtypeArticlepl
dc.titleSome inequalities and applications of Simons’ type formulas in Riemannian, affine, and statistical geometrypl
dc.title.journalThe Journal of Geometric Analysispl
dc.typeJournalArticlepl
dspace.entity.typePublication
cris.lastimport.wos
2024-04-09T18:38:09Z
dc.abstract.enpl
A few formulas and theorems for statistical structures are proved. They deal with various curvatures as well as with metric properties of the cubic form or its covariant derivative. Some of them generalize formulas and theorems known in the case of Lagrangian submanifolds or affine hypersurfaces.
dc.affiliationpl
Wydział Matematyki i Informatyki : Instytut Matematyki
dc.contributor.authorpl
Opozda, Barbara - 131177
dc.date.accessioned
2022-05-16T20:58:03Z
dc.date.available
2022-05-16T20:58:03Z
dc.date.issuedpl
2022
dc.date.openaccess
0
dc.description.accesstime
w momencie opublikowania
dc.description.version
ostateczna wersja wydawcy
dc.description.volumepl
32
dc.identifier.articleidpl
108
dc.identifier.doipl
10.1007/s12220-021-00828-5
dc.identifier.eissnpl
1559-002X
dc.identifier.issnpl
1050-6926
dc.identifier.uri
https://ruj.uj.edu.pl/xmlui/handle/item/292044
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
statistical structure
dc.subject.enpl
affine hypersurface
dc.subject.enpl
Lagrangian submanifold
dc.subject.enpl
Simons’ formula
dc.subject.enpl
Yau’s maximum principle
dc.subtypepl
Article
dc.titlepl
Some inequalities and applications of Simons’ type formulas in Riemannian, affine, and statistical geometry
dc.title.journalpl
The Journal of Geometric Analysis
dc.typepl
JournalArticle
dspace.entity.type
Publication
Affiliations
Wydział Matematyki i Informatyki
Opozda, Barbara

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Except as otherwise noted, this item is licensed under : Udzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa

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