Compact 3-manifolds with a flat Carnot-Carathéodory metric

• Autorzy: Jacek Świątkowski
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1992
• Tom: 63
• Numer: 1
• Strony: 89-105

Daty

wydano

1992

otrzymano

1990-02-26

poprawiono

1990-12-17

Twórcy

autor

Jacek Świątkowski

• Institute of Mathematics, University of Wrocław, Pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland

Bibliografia

• [A] L. Auslander, Bieberbach's theorems on space groups and discrete uniform subgroups of Lie groups, Ann. of Math. 71 (1960), 579-590.
• [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.
• [H] U. Hamenstädt, Zur Theorie von Carnot-Carathéodory Metriken und ihren Anwendungen, Dissertation, Univ. Bonn, 1986, Bonner Math. Schriften 180, 1987.
• [M] J. Mitchell, On Carnot-Carathéodory metrics, J. Differential Geom. 21 (1985), 35-45.
• [P] P. Pansu, Métriques de Carnot-Carathéodory et quasiisométries des espaces symétriques de rang un, Ann. of Math. 129 (1989), 1-60.
• [R] M. S. Raghunathan, Discrete Subgroups of Lie Groups, Springer, Berlin 1972.
• [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.
• [W] J. Wolf, Spaces of Constant Curvature, McGraw-Hill, 1967.