Outdated Archival Version

These pages are not updated anymore. They reflect the state of 20 August 2005. For the current production of this journal, please refer to http://www.math.psu.edu/era/.

This journal is archived by the American Mathematical Society. The master copy is available at http://www.ams.org/era/

For a vector field $X$ on a smooth manifold $M$ there exists a smooth but not necessarily Hausdorff manifold $M_{\mathbb{R}}$ and a complete vector field $X_{\mathbb{R}}$ on it which is the universal completion of $(M,X)$.

Copyright 2000 American Mathematical Society

TeX source (10.1K)
DVI (13.5K)
PostScript (106.4K)

Article Info

• ERA Amer. Math. Soc. 06 (2000), pp. 95-97
• Publisher Identifier: S 1079-6762(00)00083-4
• 2000 Mathematics Subject Classification. Primary 37C10, 57R30
• Key words and phrases. Flow completion, non-Hausdorff manifolds
• Received by the editors July 27, 2000
• Posted on October 10, 2000
• Communicated by Alexandre Kirillov
• Comments (When Available)

Franz W. Kamber

Department of Mathematics, University of Illinois, 1409 West Green Street, Urbana, IL 61801

E-mail address: kamber@math.uiuc.edu

Peter W. Michor

Institut für Mathematik, Universität Wien, Strudlhofgasse 4, A-1090 Wien, Austria; and: Erwin Schrödinger Institut für Mathematische Physik, Boltzmanngasse 9, A-1090 Wien, Austria

E-mail address: michor@pap.univie.ac.at

Supported by Erwin Schrödinger International Institute of Mathematical Physics, Wien, Austria. FWK was supported in part by The National Science Foundation under Grant No. DMS-9504084. PWM was supported by `Fonds zur Förderung der wissenschaftlichen Forschung, Projekt P~14195~MAT'