Skip to main content
Log in

A Metric Characteristic of Minimal Surfaces on Arbitrary Carnot Groups

  • Short Communications
  • Published:
Mathematical Notes Aims and scope Submit manuscript

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

Access this article

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

Instant access to the full article PDF.

References

  1. M. B. Karmanova, Izv. Vyssh. Uchebn. Zaved. Mat., No. 5, 15 (2019).

    Article  MathSciNet  Google Scholar 

  2. M. Karmanova and S. Vodop’yanov, in Analysis and Mathematical Physics (Birkhäuser, Basel, 2009), pp. 233–335.

    Article  Google Scholar 

  3. J. Petitot, Neurogéométrie de la vision. Modèles mathématiques et physiques des architectures fonctionelles (Les Éditions de l’École Polytechnique, Paris, 2008).

    Google Scholar 

  4. G. B. Folland and E. M. Stein, Hardy Spaces on Homogeneous Group (Princeton Univ. Press, Princeton, 1982).

    MATH  Google Scholar 

  5. M. B. Karmanova, Siberian Math. J. 58 (5), 817 (2017).

    Article  MathSciNet  Google Scholar 

  6. M. B. Karmanova, Siberian Math. J. 58 (2), 232 (2017).

    Article  MathSciNet  Google Scholar 

  7. P. Pansu, Ann. of Math. (2) 129 (1), 1 (1982).

    Article  Google Scholar 

  8. S. Vodopyanov, in The Interaction of Analysis and Geometry, Contemp. Math. (Amer. Math. Soc., Providence, RI, 2007), Vol. 424, pp. 247–301.

    Article  MathSciNet  Google Scholar 

  9. M. B. Karmanova, Sibirsk. Mat. Zh. 61 (5), 803 (2020).

    Article  Google Scholar 

Download references

Funding

This work was carried out in the framework of Russian state assignment for the Sobolev Institute of Mathematics, Siberian Branch of Russian Academy of Sciences (grant no. 0314-2019-0006).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to M. B. Karmanova.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Karmanova, M.B. A Metric Characteristic of Minimal Surfaces on Arbitrary Carnot Groups. Math Notes 108, 895–900 (2020). https://doi.org/10.1134/S0001434620110322

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0001434620110322

Keywords

Navigation