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Conjugate Points in the Generalized Dido Problem

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References

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

    MATH  Google Scholar 

  2. A. Agrachev, D. Barilari, and U. Boscain, A Comprehensive Introduction to Sub-Riemannian Geometry (Cambridge Univ. Press, Cambridge, 2019).

    Book  Google Scholar 

  3. Yu. L. Sachkov, Sb. Math. 194 (9), 1331 (2003).

    Article  MathSciNet  Google Scholar 

  4. Yu. L. Sachkov, “Symmetries of flat rank two distributions and sub-Riemannian structures,” Trans. Amer. Math. Soc. 356 (2), 457 (2004).

    Article  MathSciNet  Google Scholar 

  5. Yu. L. Sachkov, Sb. Math. 197 (2), 235 (2006).

    Article  MathSciNet  Google Scholar 

  6. Yu. L. Sachkov, Sb. Math. 197 (4), 595 (2006).

    Article  MathSciNet  Google Scholar 

  7. Yu. L. Sachkov, Sb. Math. 197 (6), 901 (2006).

    Article  MathSciNet  Google Scholar 

  8. L. S. Pontryagin, V. G. Boltyanskii, R. V. Gamkrelidze, and E. F. Mishchenko, Mathematical Theory of Optimal Processes (Nauka, Moscow, 1961) [in Russian].

    MATH  Google Scholar 

  9. A. A. Agrachev and Yu. L. Sachkov, Geometric Control Theory (Fizmatlit, Moscow, 2005) [in Russian].

    MATH  Google Scholar 

  10. E. T. Whittaker and G. N. Watson, A Course of Modern Analysis (Cambridge Univ. Press, Cambridge, 1952).

    MATH  Google Scholar 

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Funding

This work was carried out at Ailamazyan Program Systems Institute of Russian Academy of Sciences and supported by the Russian Science Foundation under grant 17-11-01387-P.

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Correspondence to Yu. L. Sachkov.

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Sachkov, Y.L. Conjugate Points in the Generalized Dido Problem. Math Notes 108, 761–763 (2020). https://doi.org/10.1134/S0001434620110176

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  • DOI: https://doi.org/10.1134/S0001434620110176

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