Geodesic
The flow completion of a manifold with vector field
Kamber, Franz1 ; Michor, Peter2
1 Department of Mathematics, University of Illinois, 1409 West Green Street, Urbana, IL 61801
2 Institut für Mathematik, Universität Wien, Strudlhofgasse 4, A-1090 Wien, Austria; and: Erwin Schrödinger Institut für Mathematische Physik, Boltzmanngasse 9, A-1090 Wien, Austria
Electronic research announcements of the American Mathematical Society, Tome 06 (2000), pp. 95-97.

Voir la notice de l'article provenant de la source American Mathematical Society

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 $(M,X)$.
DOI : 10.1090/S1079-6762-00-00083-4

Kamber, Franz 1 ; Michor, Peter 2

1 Department of Mathematics, University of Illinois, 1409 West Green Street, Urbana, IL 61801
2 Institut für Mathematik, Universität Wien, Strudlhofgasse 4, A-1090 Wien, Austria; and: Erwin Schrödinger Institut für Mathematische Physik, Boltzmanngasse 9, A-1090 Wien, Austria 
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Kamber, Franz; Michor, Peter. The flow completion of a manifold with vector field. Electronic research announcements of the American Mathematical Society, Tome 06 (2000), pp. 95-97. doi : 10.1090/S1079-6762-00-00083-4. http://geodesic.mathdoc.fr/articles/10.1090/S1079-6762-00-00083-4/

[1] Alekseevsky, D. V., Michor, Peter W. Differential geometry of 𝔤-manifolds Differential Geom. Appl. 1995 371 403

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