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Index form for nonholonomic distributions

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Publication:276889
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DOI10.3103/S1063454112020069zbMath1338.49093MaRDI QIDQ276889

V. R. Krym

Publication date: 4 May 2016

Published in: Vestnik St. Petersburg University. Mathematics (Search for Journal in Brave)


zbMATH Keywords

symplectic formsub-Riemannian geometryindex formJacobi equationEuler-Lagrange methodnonholonomic distributionstheory of second variation


Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Geodesics in global differential geometry (53C22) Sub-Riemannian geometry (53C17)


Related Items (1)

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Cites Work

  • The Euler-Lagrange method in Pontryagin's formulation
  • Nonholonomous geodesics as solutions to Euler-Lagrange integral equations and the differential of the exponential mapping
  • The curvature tensor and the Einstein equations for a four-dimensional nonholonomic distribution
  • Jacobi fields for a nonholonomic distribution
  • Riemannian geometry and geometric analysis
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