Compact 3-manifolds with a flat Carnot-Carathéodory metric

Jacek Świątkowski

Colloquium Mathematicae (1992)

  • Volume: 63, Issue: 1, page 89-105
  • ISSN: 0010-1354

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Świątkowski, Jacek. "Compact 3-manifolds with a flat Carnot-Carathéodory metric." Colloquium Mathematicae 63.1 (1992): 89-105. <http://eudml.org/doc/210137>.

@article{Świątkowski1992,
author = {Świątkowski, Jacek},
journal = {Colloquium Mathematicae},
keywords = {Carnot-Carathéodory metric; Heisenberg group; holonomy group},
language = {eng},
number = {1},
pages = {89-105},
title = {Compact 3-manifolds with a flat Carnot-Carathéodory metric},
url = {http://eudml.org/doc/210137},
volume = {63},
year = {1992},
}

TY - JOUR
AU - Świątkowski, Jacek
TI - Compact 3-manifolds with a flat Carnot-Carathéodory metric
JO - Colloquium Mathematicae
PY - 1992
VL - 63
IS - 1
SP - 89
EP - 105
LA - eng
KW - Carnot-Carathéodory metric; Heisenberg group; holonomy group
UR - http://eudml.org/doc/210137
ER -

References

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  1. [A] L. Auslander, Bieberbach's theorems on space groups and discrete uniform subgroups of Lie groups, Ann. of Math. 71 (1960), 579-590. Zbl0099.25602
  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. Zbl0648.53026
  4. [M] J. Mitchell, On Carnot-Carathéodory metrics, J. Differential Geom. 21 (1985), 35-45. Zbl0554.53023
  5. [P] P. Pansu, Métriques de Carnot-Carathéodory et quasiisométries des espaces symétriques de rang un, Ann. of Math. 129 (1989), 1-60. Zbl0678.53042
  6. [R] M. S. Raghunathan, Discrete Subgroups of Lie Groups, Springer, Berlin 1972. Zbl0254.22005
  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. Zbl0162.53304

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