Commutators of flows and fields

Mauhart, Markus, and Michor, Peter W.. "Commutators of flows and fields." Archivum Mathematicum 028.3-4 (1992): 229-236. <http://eudml.org/doc/247328>.

@article{Mauhart1992,
abstract = {The well known formula $[X,Y]=\tfrac\{1\}\{2\}\tfrac\{\partial ^2\}\{\partial t^2\}|_0 (^Y_\{-t\}ø^X_\{-t\}ø^Y_tø^X_t)$ for vector fields $X$, $Y$ is generalized to arbitrary bracket expressions and arbitrary curves of local diffeomorphisms.},
author = {Mauhart, Markus, Michor, Peter W.},
journal = {Archivum Mathematicum},
keywords = {commutators; flows; vector fields; commutators; flows; Lie bracket; vector fields; Trotter product formula},
language = {eng},
number = {3-4},
pages = {229-236},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Commutators of flows and fields},
url = {http://eudml.org/doc/247328},
volume = {028},
year = {1992},
}

TY - JOUR
AU - Mauhart, Markus
AU - Michor, Peter W.
TI - Commutators of flows and fields
JO - Archivum Mathematicum
PY - 1992
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 028
IS - 3-4
SP - 229
EP - 236
AB - The well known formula $[X,Y]=\tfrac{1}{2}\tfrac{\partial ^2}{\partial t^2}|_0 (^Y_{-t}ø^X_{-t}ø^Y_tø^X_t)$ for vector fields $X$, $Y$ is generalized to arbitrary bracket expressions and arbitrary curves of local diffeomorphisms.
LA - eng
KW - commutators; flows; vector fields; commutators; flows; Lie bracket; vector fields; Trotter product formula
UR - http://eudml.org/doc/247328
ER -