The natural operators
$T_{\vert{\cal M} f_n}\rightsquigarrow T^*T^{r*}$
and $T_{\vert {\cal M} f_n}\rightsquigarrow {\mit\Lambda}^2T^
*T^{r*}$

W. M. Mikulski

doi:10.4064/cm93-1-6

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The natural operators $T_{\vert{\cal M} f_n}\rightsquigarrow T^T^{r}$ and $T_{\vert {\cal M} f_n}\rightsquigarrow {\mit\Lambda}^2T^ T^{r}$

Tom 93 / 2002

W. M. Mikulski Colloquium Mathematicum 93 (2002), 55-65 MSC: Primary 58A20. DOI: 10.4064/cm93-1-6

Streszczenie

Let $r$ and $n$ be natural numbers. For $n\geq 2$ all natural operators $T_{| {\cal M} f_n}\rightsquigarrow T^*T^{r*}$ transforming vector fields on $n$ -manifolds $M$ to $1$ -forms on $T^{r*}M=J^r(M,{\mathbb R})_0$ are classified. For $n\geq 3$ all natural operators $T_{| {\cal M} f_n}\rightsquigarrow {\mit \Lambda }^2T^*T^{r*}$ transforming vector fields on $n$ -manifolds $M$ to $2$ -forms on $T^{r*}M$ are completely described.

Autorzy

W. M. MikulskiInstitute of Mathematics
Jagiellonian University
Reymonta 4
30-059 Kraków, Poland
e-mail

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Colloquium Mathematicum

The natural operators T_{\vert{\cal M} f_n}\rightsquigarrow T^*T^{r*} and T_{\vert {\cal M} f_n}\rightsquigarrow {\mit\Lambda}^2T^ *T^{r*}T_{\vert {\cal M} f_n}\rightsquigarrow {\mit\Lambda}^2T^ *T^{r*}

Tom 93 / 2002

Streszczenie

Autorzy

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The natural operators $T_{\vert{\cal M} f_n}\rightsquigarrow T^T^{r}$ and $T_{\vert {\cal M} f_n}\rightsquigarrow {\mit\Lambda}^2T^ T^{r}$