Natural T -functions on the cotangent bundle of a Weil bundle

Jiří M. Tomáš

Czechoslovak Mathematical Journal (2004)

  • Volume: 54, Issue: 4, page 869-882
  • ISSN: 0011-4642

Abstract

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A natural T -function on a natural bundle F is a natural operator transforming vector fields on a manifold M into functions on F M . For any Weil algebra A satisfying dim M ≥ w i d t h ( A ) + 1 we determine all natural T -functions on T * T A M , the cotangent bundle to a Weil bundle T A M .

How to cite

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Tomáš, Jiří M.. "Natural $T$-functions on the cotangent bundle of a Weil bundle." Czechoslovak Mathematical Journal 54.4 (2004): 869-882. <http://eudml.org/doc/30906>.

@article{Tomáš2004,
abstract = {A natural $T$-function on a natural bundle $F$ is a natural operator transforming vector fields on a manifold $M$ into functions on $FM$. For any Weil algebra $A$ satisfying $\dim M \ge \{\mathrm \{w\}idth\}(A)+1$ we determine all natural $T$-functions on $T^*T^AM$, the cotangent bundle to a Weil bundle $T^AM$.},
author = {Tomáš, Jiří M.},
journal = {Czechoslovak Mathematical Journal},
keywords = {natural bundle; natural operator; Weil bundle; natural bundle; natural operator; Weil bundle},
language = {eng},
number = {4},
pages = {869-882},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Natural $T$-functions on the cotangent bundle of a Weil bundle},
url = {http://eudml.org/doc/30906},
volume = {54},
year = {2004},
}

TY - JOUR
AU - Tomáš, Jiří M.
TI - Natural $T$-functions on the cotangent bundle of a Weil bundle
JO - Czechoslovak Mathematical Journal
PY - 2004
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 54
IS - 4
SP - 869
EP - 882
AB - A natural $T$-function on a natural bundle $F$ is a natural operator transforming vector fields on a manifold $M$ into functions on $FM$. For any Weil algebra $A$ satisfying $\dim M \ge {\mathrm {w}idth}(A)+1$ we determine all natural $T$-functions on $T^*T^AM$, the cotangent bundle to a Weil bundle $T^AM$.
LA - eng
KW - natural bundle; natural operator; Weil bundle; natural bundle; natural operator; Weil bundle
UR - http://eudml.org/doc/30906
ER -

References

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