The natural operators and
Colloquium Mathematicae (2002)
- Volume: 93, Issue: 1, page 55-65
- ISSN: 0010-1354
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Abstract
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topW. M. Mikulski. "The natural operators $T_{|ℳ fₙ} ⇝ T*T^{r*}$ and $T_{|ℳ fₙ} ⇝ Λ²T*T^{r*}$." Colloquium Mathematicae 93.1 (2002): 55-65. <http://eudml.org/doc/284772>.
@article{W2002,
abstract = {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.},
author = {W. M. Mikulski},
journal = {Colloquium Mathematicae},
language = {eng},
number = {1},
pages = {55-65},
title = {The natural operators $T_\{|ℳ fₙ\} ⇝ T*T^\{r*\}$ and $T_\{|ℳ fₙ\} ⇝ Λ²T*T^\{r*\}$},
url = {http://eudml.org/doc/284772},
volume = {93},
year = {2002},
}
TY - JOUR
AU - W. M. Mikulski
TI - The natural operators $T_{|ℳ fₙ} ⇝ T*T^{r*}$ and $T_{|ℳ fₙ} ⇝ Λ²T*T^{r*}$
JO - Colloquium Mathematicae
PY - 2002
VL - 93
IS - 1
SP - 55
EP - 65
AB - 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.
LA - eng
UR - http://eudml.org/doc/284772
ER -
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