Skip to main content
Log in

Measure of Images of Contact Mappings on Two-Step Sub-Lorentzian Structures

  • 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. V. M. Miklyukov, A. A. Klyachin, and V. A. Klyachin, Maximal Surfaces in Minkowski Spacetime (Volgograd, 2011) [in Russian];

    MATH  Google Scholar 

  2. V. N. Berestovskii and V. M. Gichev, St. Petersburg Math. J. 11 (4), 543 (2000).

    MathSciNet  Google Scholar 

  3. M. Grochowski, J. Dyn. Control Syst. 12 (2), 145 (2006).

    Article  MathSciNet  Google Scholar 

  4. A. Korolko and I. Markina, Complex Anal. Oper. Theory 4 (3), 589 (2010).

    Article  MathSciNet  Google Scholar 

  5. V. R. Krym and N. N. Petrov, Vestnik St. Peterburg. Univ. Mat. Mekh. Astronom., No. 3, 68 (2008).

    Google Scholar 

  6. I. Bars and J. Terning, Extra Dimensions in Space and Time (Springer, New York, 2010).

    Book  MATH  Google Scholar 

  7. M. B. Karmanova, Siberian Math. J. 61 (4), 648 (2020).

    Article  MathSciNet  Google Scholar 

  8. M. B. Karmanova, Sibirsk. Mat. Zh. 63 (3), 587 (2022).

    Google Scholar 

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

    MATH  Google Scholar 

  10. M. B. Karmanova, Math. Notes 111 (1), 152 (2022).

    Article  MathSciNet  Google Scholar 

  11. P. Pansu, Math. Ann. 129 (1), 1 (1982).

    Article  MathSciNet  Google Scholar 

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

    Chapter  MATH  Google Scholar 

  13. M. Karmanova and S. Vodopyanov, Complex Var. Elliptic Equ. 55 (1–3), 317 (2010).

    Article  MathSciNet  Google Scholar 

  14. M. B. Karmanova, Izv. Math. 78 (3), 475 (2014).

    Article  MathSciNet  Google Scholar 

Download references

Funding

This work was carried out in the framework of the Government order no. FWNF-2022-0006 to the Sobolev Institute of Mathematics, Siberian Branch of Russian Academy of Sciences.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to M. B. Karmanova.

Additional information

Translated from Matematicheskie Zametki, 2023, Vol. 113, pp. 149–153 https://doi.org/10.4213/mzm13695.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Karmanova, M.B. Measure of Images of Contact Mappings on Two-Step Sub-Lorentzian Structures. Math Notes 113, 154–158 (2023). https://doi.org/10.1134/S0001434623010170

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0001434623010170

Keywords

Navigation