Geometric structures associated with a simple Cartan 3-form

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F13%3A00392316" target="_blank" >RIV/67985840:_____/13:00392316 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1016/j.geomphys.2013.03.028" target="_blank" >http://dx.doi.org/10.1016/j.geomphys.2013.03.028</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.geomphys.2013.03.028" target="_blank" >10.1016/j.geomphys.2013.03.028</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Geometric structures associated with a simple Cartan 3-form

Popis výsledku v původním jazyce

We introduce the notion of a manifold admitting a simple compact Cartan 3-form ?3?3. We study algebraic types of such manifolds, in particular those having skew-symmetric torsion, or those associated with a closed or coclosed 3-form ?3?3. We prove the existence of an algebra of multi-symplectic forms ?l?l on these manifolds. Cohomology groups associated with complexes of differential forms on MnMn in the presence of such a closed multi-symplectic form ?l?l and their relations with the de Rham cohomologies of MM are investigated. We show rigidity of a class of strongly associative (resp. strongly coassociative) submanifolds. We include an appendix describing all connected simply connected complete Riemannian manifolds admitting a parallel 3-form.

Název v anglickém jazyce

Geometric structures associated with a simple Cartan 3-form

Popis výsledku anglicky

We introduce the notion of a manifold admitting a simple compact Cartan 3-form ?3?3. We study algebraic types of such manifolds, in particular those having skew-symmetric torsion, or those associated with a closed or coclosed 3-form ?3?3. We prove the existence of an algebra of multi-symplectic forms ?l?l on these manifolds. Cohomology groups associated with complexes of differential forms on MnMn in the presence of such a closed multi-symplectic form ?l?l and their relations with the de Rham cohomologies of MM are investigated. We show rigidity of a class of strongly associative (resp. strongly coassociative) submanifolds. We include an appendix describing all connected simply connected complete Riemannian manifolds admitting a parallel 3-form.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2013

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Journal of Geometry and Physics

ISSN

0393-0440

e-ISSN

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Svazek periodika

70

Číslo periodika v rámci svazku

August

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

19

Strana od-do

205-223

Kód UT WoS článku

000320143100017

EID výsledku v databázi Scopus

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