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

ArticleOriginal scientific text

Title

Authors , ,

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.

Natural operator, vector field, p-form

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