On the Courant bracket on couples of vector fields and $p$-forms

Miroslav Doupovec; Jan Kurek; Włodzimierz Mikulski

On the Courant bracket on couples of vector fields and

p

-forms

Miroslav Doupovec ; Jan Kurek ; Włodzimierz Mikulski

Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica, Tome 72 (2018), / Harvested from The Polish Digital Mathematics Library

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Résumé

If $m \geq p + 1 \geq 2$ (or $m = p \geq 3$ ), all natural bilinear operators $A$ transforming pairs of couples of vector fields and $p$ -forms on $m$ -manifolds $M$ into couples of vector fields and $p$ -forms on $M$ are described. It is observed that any natural skew-symmetric bilinear operator $A$ as above coincides with the generalized Courant bracket up to three (two, respectively) real constants.

Publié le : 2018-01-01
EUDML-ID : urn:eudml:doc:290761

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     title = {On the Courant bracket on couples of vector fields and $p$-forms},
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     volume = {72},
     year = {2018},
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Miroslav Doupovec; Jan Kurek; Włodzimierz Mikulski. On the Courant bracket on couples of vector fields and $p$-forms. Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica, Tome 72 (2018) . http://gdmltest.u-ga.fr/item/bwmeta1.element.ojs-doi-10_17951_a_2018_72_2_29/

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