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Local geometry of Carnot manifolds under minimal smoothness

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References

  1. A. Nagel, E. M. Stein, and S. Wainger, Acta Math. 155, 103–147 (1985).

    Article  MATH  MathSciNet  Google Scholar 

  2. M. Gromov, in Sub-Riemannian Geometry (Birkhäuser, Basel, 1996), pp. 79–318.

    Google Scholar 

  3. A. Belläiche, in Sub-Riemannian Geometry (Birkhäuser, Basel, 1996), pp. 1–78.

    Google Scholar 

  4. R. Montgomery, A Tour of Subriemannian Geometries, Their Geodesics and Applications (Am. Math. Soc., Providence, RI, 2002).

    MATH  Google Scholar 

  5. G. A. Margulis and G. D. Mostow, Geom. Funct. Anal. 5, 402–433 (1995).

    Article  MATH  MathSciNet  Google Scholar 

  6. G. A. Margulis and G. D. Mostow, J. Anal. Math. 80, 299–317 (2000).

    Article  MATH  MathSciNet  Google Scholar 

  7. A. Agrachev and A. Marigo, Electron. Res. Announc. Am. Math. Soc. 9, 111–120 (2003).

    Article  MATH  MathSciNet  Google Scholar 

  8. F. Jean, J. Dyn. Control Syst. 7, 473–500 (2001).

    Article  MATH  MathSciNet  Google Scholar 

  9. S. K. Vodop’yanov and A. V. Greshnov, Dokl. Math. 67, 246–250 (2003) [Dokl. Akad. Nauk 389, 592–596 (2003)].

    MATH  Google Scholar 

  10. S. K. Vodop’yanov, Dokl. Math. 74, 686–691 (2006) [Dokl. Akad. Nauk 410, 439–444 (2006)].

    Article  MATH  Google Scholar 

  11. S. K. Vodop’yanov, Dokl. Akad. Nauk 411(4), 439–443 (2006).

    MathSciNet  Google Scholar 

  12. M. M. Postnikov, Lie Groups and Algebras (Nauka, Moscow, 1982) [in Russian].

    MATH  Google Scholar 

  13. G. B. Folland and E. M. Stein, Hardy Spaces on Homogeneous Groups (Princeton Univ. Press, Princeton, NJ, 1982).

    MATH  Google Scholar 

  14. P. Hajłasz and P. Koskela, Mem. Am. Math. Soc. 145(688), (2000).

  15. A. V. Greshnov, Sib. Mat. Zh. 47, 259–292 (2006).

    MathSciNet  MATH  Google Scholar 

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Published in Russian in Doklady Akademii Nauk, 2007, Vol. 413, No. 3, pp. 305–311.

The article was translated by the authors.

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Vodop’yanov, S.K., Karmanova, M.B. Local geometry of Carnot manifolds under minimal smoothness. Dokl. Math. 75, 240–246 (2007). https://doi.org/10.1134/S1064562407020172

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