# Commutators of flows and fields

Markus Mauhart; Peter W. Michor

Archivum Mathematicum (1992)

- Volume: 028, Issue: 3-4, page 229-236
- ISSN: 0044-8753

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topMauhart, 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 -

## References

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