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

• Autorzy: W. M. Mikulski
• Języki publikacji: EN

Abstrakty

EN

Let r and n be natural numbers. For n ≥ 2 all natural operators $T_{|ℳ fₙ} ⇝ T*T^{r*}$ 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 $T_{|ℳ fₙ} ⇝ Λ²T*T^{r*}$ transforming vector fields on n-manifolds M to 2-forms on $T^{r*}M$ are completely described.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2002
• Tom: 93
• Numer: 1
• Strony: 55-65

Daty

wydano

2002

Twórcy

autor

W. M. Mikulski

• Institute of Mathematics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland

Identyfikatory

DOI

10.4064/cm93-1-6