The natural operators $T_{|ℳ fₙ} ⇝ T*T^{r*}$ and $T_{|ℳ fₙ} ⇝ Λ²T*T^{r*}$

W. M. Mikulski

The natural operators

T_{| ℳ f ₙ} ⇝ T * T^{r *}

and

T_{| ℳ f ₙ} ⇝ Λ ² T * T^{r *}

W. M. Mikulski

Colloquium Mathematicae, Tome 91 (2002), p. 55-65 / Harvested from The Polish Digital Mathematics Library

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Résumé

Let r and n be natural numbers. For n ≥ 2 all natural operators $T_{| ℳ f ₙ} ⇝ T * T^{r *}$ transforming vector fields on n-manifolds M to 1-forms on $T^{r *} M = J^{r} (M, ℝ) ₀$ are classified. For n ≥ 3 all natural operators $T_{| ℳ f ₙ} ⇝ Λ ² T * T^{r *}$ transforming vector fields on n-manifolds M to 2-forms on $T^{r *} M$ are completely described.

Publié le : 2002-01-01
EUDML-ID : urn:eudml:doc:284772

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     author = {W. M. Mikulski},
     title = {The natural operators $T\_{|M fn} \textasciitilde\ T*T^{r*}$ and $T\_{|M fn} \textasciitilde\ L2T*T^{r*}$
            },
     journal = {Colloquium Mathematicae},
     volume = {91},
     year = {2002},
     pages = {55-65},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm93-1-6}
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W. M. Mikulski. The natural operators $T_{|ℳ fₙ} ⇝ T*T^{r*}$ and $T_{|ℳ fₙ} ⇝ Λ²T*T^{r*}$
            . Colloquium Mathematicae, Tome 91 (2002) pp. 55-65. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm93-1-6/