A unifying approach for rolling symmetric spaces

DOI10.3934/jgm.2020016zbMath1498.70023OpenAlexW3033419205MaRDI QIDQ2052474

Luís Machado, Fátima Silva Leite, Krzysztof A. Krakowski

Publication date: 26 November 2021

Published in: Journal of Geometric Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/jgm.2020016

zbMATH Keywords

Lie groupsLie algebrasisotropy subgroupsnonholonomic constraintsisometriesparallel submanifoldsCartan-type decompositionsrolling mapssymmetric homogeneous spaces

Mathematics Subject Classification ID

Differential geometry of symmetric spaces (53C35) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Differential geometric aspects in kinematics (53A17)

Related Items (2)

Pure rolling motion of hyperquadrics in pseudo-Euclidean spaces ⋮ Symmetric spaces rolling on flat spaces

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