On the Courant bracket on couples of vector fields and \(p\)-forms

• Autorzy: Miroslav Doupovec , Jan Kurek , Włodzimierz Mikulski
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Natural operator; vector field; p-form

• Wydawca: Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
• Czasopismo: Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
• Rocznik: 2018
• Tom: 72
• Numer: 2

Daty

wydano

2018

online

2018-12-22

Twórcy

autor

Miroslav Doupovec

autor

Jan Kurek

autor

Włodzimierz Mikulski

Bibliografia

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Identyfikatory

DOI

10.17951/a.2018.72.2.29