Nonholonomic and constrained variational mechanics
DOI10.3934/jgm.2020013zbMath1476.70057OpenAlexW3033816177MaRDI QIDQ2220254
Publication date: 22 January 2021
Published in: Journal of Geometric Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/jgm.2020013
calculus of variationssub-Riemannian geometryaffine differential geometrynonholonomic mechanicsinvariant subbundlesSobolev spaces of mappingslinear and affine vector fields on vector bundles
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Invariant manifolds for ordinary differential equations (34C45) Nonholonomic systems related to the dynamics of a system of particles (70F25) Connections (general theory) (53C05) Sub-Riemannian geometry (53C17) Optimality conditions for free problems in one independent variable (49K05)
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