Canonical vector valued 1-forms on higher order principal prolongations

Lobachevskii Journal of Mathematics - Tập 29 - Trang 24-26 - 2008
J. Kurek1,2, W. M. Mikulski1,2
1Institute of Mathematics, Maria Curie-Sklodowska University, Lublin, Poland
2Institute of Mathematics, Jagiellonian University, Kraków, Poland

Tóm tắt

Let P → M be a principal G-bundle with m-dimensional basis, where G is a Lie group. Let V be a finite dimensional vector space over R. We describe all canonical ( $$ \mathcal{P}\mathcal{B}_m $$ (G)-invariant) V-valued 1-forms ϑ: TW P → V on the r-th order principal prolongationW P of P.

Tài liệu tham khảo

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