Rolling of Manifolds and Controllability in dimension three

DOI10.24033/msmf.455zbMath1353.53020OpenAlexW2584991062MaRDI QIDQ2829378

Petri Kokkonen, Yacine Chitour

Publication date: 27 October 2016

Published in: Mémoires de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/f954cc9bb27fc59a1cfb7f443137d802a5db68dc

zbMATH Keywords

controllabilitycurvature tensorgeometric controldevelopment of manifolds

Mathematics Subject Classification ID

Issues of holonomy in differential geometry (53C29) Applications of local differential geometry to the sciences (53B50) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Local submanifolds (53B25)

Related Items (10)

Horizontal holonomy for affine manifolds ⋮ Rolling against a sphere: the non-transitive case ⋮ Controllability results for the rolling of 2-dimensional against 3-dimensional Riemannian manifolds. II ⋮ Horizontal holonomy and foliated manifolds ⋮ Symmetries of the rolling model ⋮ Rolling Maps and Nonlinear Data ⋮ Rolling manifolds of different dimensions ⋮ Controllability results for the rolling of 2-dimensional against 3-dimensional Riemannian manifolds. I ⋮ Submersions, Hamiltonian Systems, and Optimal Solutions to the Rolling Manifolds Problem ⋮ On the Controllability of the Rolling Problem onto the Hyperbolic $n$-space

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