ArticleOriginal scientific text

Title

Compact 3-manifolds with a flat Carnot-Carathéodory metric

Authors 1

Affiliations

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

Bibliography

  1. [A] L. Auslander, Bieberbach's theorems on space groups and discrete uniform subgroups of Lie groups, Ann. of Math. 71 (1960), 579-590.
  2. [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.
  3. [H] U. Hamenstädt, Zur Theorie von Carnot-Carathéodory Metriken und ihren Anwendungen, Dissertation, Univ. Bonn, 1986, Bonner Math. Schriften 180, 1987.
  4. [M] J. Mitchell, On Carnot-Carathéodory metrics, J. Differential Geom. 21 (1985), 35-45.
  5. [P] P. Pansu, Métriques de Carnot-Carathéodory et quasiisométries des espaces symétriques de rang un, Ann. of Math. 129 (1989), 1-60.
  6. [R] M. S. Raghunathan, Discrete Subgroups of Lie Groups, Springer, Berlin 1972.
  7. [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.
  8. [W] J. Wolf, Spaces of Constant Curvature, McGraw-Hill, 1967.
Pages:
89-105
Main language of publication
English
Received
1990-02-26
Accepted
1990-12-17
Published
1992
Exact and natural sciences