Miroslav DOUPOVEC, Jan KUREK, Wlodzimierz MIKULSKI

65102

The natural brackets on couples of vector fields and $1$-forms

All natural bilinear operators transforming pairs of couples of vector fields and $1$-forms into couples of vector fields and $1$-forms are found. All natural bilinear operators as above satisfying the Leibniz rule are extracted. All natural Lie algebra brackets on couples of vector fields and $1$-forms are collected.
Keywords:

Natural operator vector field, $1$-form, Leibniz rule,

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Turkish Journal of Mathematics-Cover
  • ISSN: 1300-0098
  • Yayın Aralığı: 6
  • Yayıncı: TÜBİTAK
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