Geometric structures associated with a simple Cartan 3-form

Result code in 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>
Result on the web
<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>

Result language
angličtina
Original language name
Geometric structures associated with a simple Cartan 3-form
Original language description
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.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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