Rolling of manifolds without spinning

DOI10.1007/s10883-013-9167-6zbMath1257.93025OpenAlexW2064864894MaRDI QIDQ1936285

Petri Kokkonen

Publication date: 21 February 2013

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10883-013-9167-6

zbMATH Keywords

Riemannian geometrydevelopmentlinear connectionsgeometry of vector bundlesrolling of manifolds

Mathematics Subject Classification ID

Differential geometric aspects in vector and tensor analysis (53A45) Geometric methods (93B27) Issues of holonomy in differential geometry (53C29) Connections (general theory) (53C05)

Related Items (4)

Horizontal holonomy for affine manifolds ⋮ Rolling against a sphere: the non-transitive case ⋮ Symmetries of the rolling model ⋮ Controllability results for the rolling of 2-dimensional against 3-dimensional Riemannian manifolds. I

Cites Work

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• Control theory from the geometric viewpoint.
• An intrinsic formulation of the problem on rolling manifolds
• Rolling manifolds on space forms
• Rolling bodies with regular surface: controllability theory and applications
• Controllability of Rolling without Twisting or Slipping in Higher Dimensions

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