Kinematics and differential geometry of submanifolds

DOI10.2748/tmj/1178229921zbMath0395.53005OpenAlexW2055410881WikidataQ115227203 ScholiaQ115227203MaRDI QIDQ1253022

Katsumi Nomizu

Publication date: 1978

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178229921

zbMATH Keywords

Second Fundamental FormArbitrary Smooth SurfaceKinematic Interpretation of the Levi- Civita ConnectionKinematic ModelNormal ConnectionRolling of a BallRolling of An N-Dimensional Submanifold on Another

Mathematics Subject Classification ID

Kinematics of a rigid body (70B10) Differential geometric aspects in kinematics (53A17) Local submanifolds (53B25)

Related Items (16)

Geometric conditions for the existence of a rolling without twisting or slipping ⋮ Rolling against a sphere: the non-transitive case ⋮ Symmetric spaces rolling on flat spaces ⋮ Symmetries of the rolling model ⋮ Rolling Maps and Nonlinear Data ⋮ A Study on Ruled Surface in Euclidean 3-Space ⋮ A Differential-Geometric Approach for Bernstein’s Degrees-of-Freedom Problem ⋮ Homothetic Motion of Submanifolds on the Plane inE³ ⋮ Submersions, Hamiltonian Systems, and Optimal Solutions to the Rolling Manifolds Problem ⋮ A unifying approach for rolling symmetric spaces ⋮ Parallel Transport Unfolding: A Connection-Based Manifold Learning Approach ⋮ Flat approximations of hypersurfaces along curves ⋮ Cartan ribbonization and a topological inspection ⋮ Unnamed Item ⋮ On the Controllability of the Rolling Problem onto the Hyperbolic $n$-space ⋮ About Cartan geometrization of non-holonomic mechanics

Cites Work

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