On the Courant bracket on couples of vector fields and p-forms
Journal Title: Annales Universitatis Mariae Curie-Skłodowska. Sectio A, Mathematica - Year 2018, Vol 72, Issue 2
Abstract
If m >= p+1 >= 2 (or m = p >= 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.
Authors and Affiliations
Miroslav Doupovec, Jan Kurek, Włodzimierz Mikulski
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