Compact 3-manifolds with a flat Carnot-Carathéodory metric
Świątkowski, Jacek
Colloquium Mathematicae, Tome 63 (1992), p. 89-105 / Harvested from The Polish Digital Mathematics Library
Publié le : 1992-01-01
EUDML-ID : urn:eudml:doc:210137
@article{bwmeta1.element.bwnjournal-article-cmv63i1p89bwm,
     author = {Jacek \'Swi\k atkowski},
     title = {Compact 3-manifolds with a flat Carnot-Carath\'eodory metric},
     journal = {Colloquium Mathematicae},
     volume = {63},
     year = {1992},
     pages = {89-105},
     zbl = {0796.53024},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv63i1p89bwm}
}
Świątkowski, Jacek. Compact 3-manifolds with a flat Carnot-Carathéodory metric. Colloquium Mathematicae, Tome 63 (1992) pp. 89-105. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv63i1p89bwm/

[000] [A] L. Auslander, Bieberbach's theorems on space groups and discrete uniform subgroups of Lie groups, Ann. of Math. 71 (1960), 579-590. | Zbl 0099.25602

[001] [G] M. Gromov, Structures métriques pour les variétés riemanniennes, notes de cours rédigées par J. Lafontaine et P. Pansu, Textes Math. 1, CEDIC, Paris 1981.

[002] [H] U. Hamenstädt, Zur Theorie von Carnot-Carathéodory Metriken und ihren Anwendungen, Dissertation, Univ. Bonn, 1986, Bonner Math. Schriften 180, 1987. | Zbl 0648.53026

[003] [M] J. Mitchell, On Carnot-Carathéodory metrics, J. Differential Geom. 21 (1985), 35-45. | Zbl 0554.53023

[004] [P] P. Pansu, Métriques de Carnot-Carathéodory et quasiisométries des espaces symétriques de rang un, Ann. of Math. 129 (1989), 1-60. | Zbl 0678.53042

[005] [R] M. S. Raghunathan, Discrete Subgroups of Lie Groups, Springer, Berlin 1972. | Zbl 0254.22005

[006] [V-G] A. M. Vershik and V. Ya. Gershkovich, Nonholonomic problems and the geometry of distributions (in Russian), appendix to the Russian edition of: P. Griffiths, Exterior Differential Systems and Variational Calculus, Nauka, Moscow 1986.

[007] [W] J. Wolf, Spaces of Constant Curvature, McGraw-Hill, 1967. | Zbl 0162.53304