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The Sub-Riemannian Curvature of Curves in the Borel Subgroup of the Group SL(2,ℝ)

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References

  1. A. Agrachev, D. Barilari, and L. Rizzi, Curvature: A Variational Approach, https://arxiv.org/abs/1306.5318, 2015.

    MATH  Google Scholar 

  2. M. Gromov, Carnot-Carathéodory Spaces Seen From Within (Birkhäuser Verlag, Basel, 1996).

    Book  MATH  Google Scholar 

  3. S. D. Pauls, Geom. Dedicata 104, 201 (2004).

    Article  MathSciNet  Google Scholar 

  4. L. Capogna, D. Danielli, S. D. Pauls, and J. T. Tyson, An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem (Birkhäuser Verlag, Basel, 2007).

    MATH  Google Scholar 

  5. G. Citti and M. Manfredini, Potential Anal. 25 (2), 147 (2006).

    Article  MathSciNet  Google Scholar 

  6. Z. M. Balogh, J. T. Tyson, and E. Vecchi, Math. Z. 287 (1-2), 1 (2017).

    Article  MathSciNet  Google Scholar 

  7. A. Agrachev and D. Barilari, J. Dynam. Control Systems 18 (1), 21 (2012).

    Article  Google Scholar 

  8. J. M. Lee, Riemannian Manifolds: An Introduction to Curvature (Springer-Verlag, New York, 1997).

    Book  MATH  Google Scholar 

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090, Russia

    M. V. Tryamkin

  2. Novosibirsk State University, Novosibirsk, 630090, Russia

    M. V. Tryamkin

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  1. M. V. Tryamkin
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Correspondence to M. V. Tryamkin.

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Original Russian Text © M. V. Tryamkin, 2018, published in Matematicheskie Zametki, 2018, Vol. 104, No. 5, pp. 796–800.

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Tryamkin, M.V. The Sub-Riemannian Curvature of Curves in the Borel Subgroup of the Group SL(2,ℝ). Math Notes 104, 773–777 (2018). https://doi.org/10.1134/S0001434618110226

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