Natural transformations of semi-holonomic 3-jets

Vosmanská, Gabriela. "Natural transformations of semi-holonomic 3-jets." Archivum Mathematicum 031.4 (1995): 313-318. <http://eudml.org/doc/247670>.

@article{Vosmanská1995,
abstract = {Let $\bar\{J\}^3$ be the functor of semi-holonomic $3$-jets and $\bar\{J\}^\{3,2\}$ be the functor of those semi-holonomic $3$-jets, which are holonomic in the second order. We deduce that the only natural transformations $\bar\{J\}^3 \rightarrow \bar\{J\}^3$ are the identity and the contraction. Then we determine explicitely all natural transformations $\bar\{J\}^\{3,2\}\rightarrow \bar\{J\}^\{3,2\}$, which form two $5$-parameter families.},
author = {Vosmanská, Gabriela},
journal = {Archivum Mathematicum},
keywords = {semi-holonomic 3-jet; natural transformation; semi-holonomic jets; natural transformations},
language = {eng},
number = {4},
pages = {313-318},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Natural transformations of semi-holonomic 3-jets},
url = {http://eudml.org/doc/247670},
volume = {031},
year = {1995},
}

TY - JOUR
AU - Vosmanská, Gabriela
TI - Natural transformations of semi-holonomic 3-jets
JO - Archivum Mathematicum
PY - 1995
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 031
IS - 4
SP - 313
EP - 318
AB - Let $\bar{J}^3$ be the functor of semi-holonomic $3$-jets and $\bar{J}^{3,2}$ be the functor of those semi-holonomic $3$-jets, which are holonomic in the second order. We deduce that the only natural transformations $\bar{J}^3 \rightarrow \bar{J}^3$ are the identity and the contraction. Then we determine explicitely all natural transformations $\bar{J}^{3,2}\rightarrow \bar{J}^{3,2}$, which form two $5$-parameter families.
LA - eng
KW - semi-holonomic 3-jet; natural transformation; semi-holonomic jets; natural transformations
UR - http://eudml.org/doc/247670
ER -