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

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

Keywords

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  • EP ID EP530759
  • DOI 10.17951/a.2018.72.2.29
  • Views 86
  • Downloads 0

How To Cite

Miroslav Doupovec, Jan Kurek, Włodzimierz Mikulski (2018). On the Courant bracket on couples of vector fields and p-forms. Annales Universitatis Mariae Curie-Skłodowska. Sectio A, Mathematica, 72(2), 29-36. https://europub.co.uk/articles/-A-530759