Skip to main content
SpringerLink
Log in

The differential of a quasi-conformal mapping of a Carnot-Caratheodory space

  • Published:
Geometric & Functional Analysis GAFA Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  • [Go]R. Goodman, Nilpotent Lie Groups: Structure and Applications to Analysis, Lecture Notes in Math, Springer, Berlin, 562, 1970.

    Google Scholar 

  • [Gr]M. Gromov, Structures métriques pour les variétés Riemannienes, CEDIC, Paris, 1981.

    Google Scholar 

  • [KR]A. Koranyi, M. Reimann, Foundations for the theory of quasi-conformal mappings of the Heisenberg group, Adv. in Math. III:1 (1995), 1–87.

    Google Scholar 

  • [M]G. Metivier, Fonction spectrale et valeurs propres d'une classe d'operateurs non elliptiques, Comm. Partial Differential Equations 1 (1976), 479–519.

    Google Scholar 

  • [Mi]J. Mitchell, On Carnot-Carathéodory metrics, J. Differential Geometry 21 (1985), 35–45.

    Google Scholar 

  • [Mo1]G.D. Mostow, Quasi-conformal mappings inn-spaces and the rigidity of hyperbolic space forms, Publ. Math. IHES 34 (1968), 53–104.

    Google Scholar 

  • [Mo2]G.D. Mostow, Strong Rigidity of Locally Symmetric Spaces, Annals of Math Studies, Princeton Univ. Press, Princeton, NJ, 1973.

    Google Scholar 

  • [Mo3]G.D. Mostow, A remark on quasi-conformal mappings on Carnot groups, Michigan Math. J. 41 (1994), 31–37.

    Google Scholar 

  • [P]P. Pansu, Métriques de Carnot-Carathéodory, et quasi-isométries des espaces symmétriques de rang un, Ann. of Math. 2:129 (1989), 1–60.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dept. of Math., Yale University, 06520, New Haven, CT, USA

    G. A. Margulis & G. D. Mostow

Authors
  1. G. A. Margulis
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. G. D. Mostow
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

The work of the first author is supported in part by NSF Grant DMS-9204270 and that of the second author by NSF Grant DMS-91036-8.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Margulis, G.A., Mostow, G.D. The differential of a quasi-conformal mapping of a Carnot-Caratheodory space. Geometric and Functional Analysis 5, 402–433 (1995). https://doi.org/10.1007/BF01895673

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01895673

Search

Navigation