دورية أكاديمية
Harmonic symmetries for Hermitian manifolds.
| العنوان: | Harmonic symmetries for Hermitian manifolds. |
|---|---|
| المؤلفون: | Wilson, Scott O. |
| المصدر: | Proceedings of the American Mathematical Society; Jul2020, Vol. 148 Issue 7, p3039-3045, 7p |
| مصطلحات موضوعية: | COMPLEX manifolds, DIFFERENTIAL forms, MANIFOLDS (Mathematics), SYMMETRY, HERMITIAN forms |
| مستخلص: | Complex manifolds with compatible metric have a naturally defined subspace of harmonic differential forms that satisfy Serre, Hodge, and conjugation duality, as well as hard Lefschetz duality. This last property follows from a representation of sl(2,C), generalizing the well-known structure on the harmonic forms of compact Kähler manifolds. Some topological implications are deduced. [ABSTRACT FROM AUTHOR] |
| Copyright of Proceedings of the American Mathematical Society is the property of American Mathematical Society and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| قاعدة البيانات: | Complementary Index |
| ResultId |
1 |
|---|---|
| Header |
edb Complementary Index 143306128 915 6 Academic Journal academicJournal 915.358642578125 |
| PLink |
https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&scope=site&db=edb&AN=143306128&custid=s6537998&authtype=sso |
| FullText |
Array
(
[Availability] => 0
)
|
| Items |
Array
(
[Name] => Title
[Label] => Title
[Group] => Ti
[Data] => Harmonic symmetries for Hermitian manifolds.
)
Array ( [Name] => Author [Label] => Authors [Group] => Au [Data] => <searchLink fieldCode="AR" term="%22Wilson%2C+Scott+O%2E%22">Wilson, Scott O.</searchLink> ) Array ( [Name] => TitleSource [Label] => Source [Group] => Src [Data] => Proceedings of the American Mathematical Society; Jul2020, Vol. 148 Issue 7, p3039-3045, 7p ) Array ( [Name] => Subject [Label] => Subject Terms [Group] => Su [Data] => <searchLink fieldCode="DE" term="%22COMPLEX+manifolds%22">COMPLEX manifolds</searchLink><br /><searchLink fieldCode="DE" term="%22DIFFERENTIAL+forms%22">DIFFERENTIAL forms</searchLink><br /><searchLink fieldCode="DE" term="%22MANIFOLDS+%28Mathematics%29%22">MANIFOLDS (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22SYMMETRY%22">SYMMETRY</searchLink><br /><searchLink fieldCode="DE" term="%22HERMITIAN+forms%22">HERMITIAN forms</searchLink> ) Array ( [Name] => Abstract [Label] => Abstract [Group] => Ab [Data] => Complex manifolds with compatible metric have a naturally defined subspace of harmonic differential forms that satisfy Serre, Hodge, and conjugation duality, as well as hard Lefschetz duality. This last property follows from a representation of sl(2,C), generalizing the well-known structure on the harmonic forms of compact Kähler manifolds. Some topological implications are deduced. [ABSTRACT FROM AUTHOR] ) Array ( [Name] => Abstract [Label] => [Group] => Ab [Data] => <i>Copyright of Proceedings of the American Mathematical Society is the property of American Mathematical Society and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) ) |
| RecordInfo |
Array
(
[BibEntity] => Array
(
[Identifiers] => Array
(
[0] => Array
(
[Type] => doi
[Value] => 10.1090/proc/14997
)
)
[Languages] => Array
(
[0] => Array
(
[Code] => eng
[Text] => English
)
)
[PhysicalDescription] => Array
(
[Pagination] => Array
(
[PageCount] => 7
[StartPage] => 3039
)
)
[Subjects] => Array
(
[0] => Array
(
[SubjectFull] => COMPLEX manifolds
[Type] => general
)
[1] => Array
(
[SubjectFull] => DIFFERENTIAL forms
[Type] => general
)
[2] => Array
(
[SubjectFull] => MANIFOLDS (Mathematics)
[Type] => general
)
[3] => Array
(
[SubjectFull] => SYMMETRY
[Type] => general
)
[4] => Array
(
[SubjectFull] => HERMITIAN forms
[Type] => general
)
)
[Titles] => Array
(
[0] => Array
(
[TitleFull] => Harmonic symmetries for Hermitian manifolds.
[Type] => main
)
)
)
[BibRelationships] => Array
(
[HasContributorRelationships] => Array
(
[0] => Array
(
[PersonEntity] => Array
(
[Name] => Array
(
[NameFull] => Wilson, Scott O.
)
)
)
)
[IsPartOfRelationships] => Array
(
[0] => Array
(
[BibEntity] => Array
(
[Dates] => Array
(
[0] => Array
(
[D] => 01
[M] => 07
[Text] => Jul2020
[Type] => published
[Y] => 2020
)
)
[Identifiers] => Array
(
[0] => Array
(
[Type] => issn-print
[Value] => 00029939
)
)
[Numbering] => Array
(
[0] => Array
(
[Type] => volume
[Value] => 148
)
[1] => Array
(
[Type] => issue
[Value] => 7
)
)
[Titles] => Array
(
[0] => Array
(
[TitleFull] => Proceedings of the American Mathematical Society
[Type] => main
)
)
)
)
)
)
)
|
| IllustrationInfo |