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Some remarks on the definition of tangent cones in a Carnot-Carathéodory space

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References

  1. W. L. Chow,Systeme von linearen partiellen differential Gleichungen erstes Ordnung, Math. Ann.117 (1939), 98–105.

    Article  MATH  MathSciNet  Google Scholar 

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

    Google Scholar 

  3. M. Gromov,Structures métriques pour les variétés riemanniennes, CEDIC, Paris, 1981.

    MATH  Google Scholar 

  4. L. Hörmander,Hypoelliptic second order differential equations, Acta Math.119 (1967), 147–171.

    Article  MATH  MathSciNet  Google Scholar 

  5. G. Margulis and G. D. Mostow,The differential of a quasi-conformed mapping of a Carnot-Carathéodory space, Geom. Funct Anal.5 (1995), 402–433.

    Article  MATH  MathSciNet  Google Scholar 

  6. G. Metivier,Fonction spectrale et valeurs propres d’une class d’operateurs non-elliptiques, Comm. Partial Differential Equations1 (1976), 479–519.

    Article  MathSciNet  Google Scholar 

  7. J. Mitchell,On Carnot-Carathéodory metrics, J. Differential Geom.21 (1985), 35–45.

    MATH  MathSciNet  Google Scholar 

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

    Article  MathSciNet  Google Scholar 

  9. L. P. Rothschild and E. M. Stein,Hypodifferential operators and nilpotent groups, Acta Math.137 (1976), 247–320.

    Article  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Yale University, 06520-2155, New Haven, CT, USA

    G. A. Margulis & G. D. Mostow

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  1. G. A. Margulis
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  2. G. D. Mostow
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Correspondence to G. A. Margulis.

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Supported in part by NSF grant DMS-9800607.

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Margulis, G.A., Mostow, G.D. Some remarks on the definition of tangent cones in a Carnot-Carathéodory space. J. Anal. Math. 80, 299–317 (2000). https://doi.org/10.1007/BF02791539

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  • DOI: https://doi.org/10.1007/BF02791539

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