Classical motions of infinitesimal rotators on Mylar balloons

DOI10.1002/MMA.6660zbMath1456.53010OpenAlexW3038708939MaRDI QIDQ5143490

Vasyl Kovalchuk, Ivaïlo M. Mladenov

Publication date: 12 January 2021

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.6660

zbMATH Keywords

geodesicselliptic functionssurfaces of revolutionelliptic integralsnon-Euclidean spacesMylar balloonsgeodeticsinfinitesimal rotators

Mathematics Subject Classification ID

Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Surfaces in Euclidean and related spaces (53A05) Curves in Euclidean and related spaces (53A04) Non-Euclidean differential geometry (53A35) Motion of the gyroscope (70E05)

Related Items (4)

Mechanics of incompressible test bodies moving on λ‐spheres ⋮ Unifying approach to Heisenberg models for spin distributions on curved surfaces of revolution with isothermal (conformal) metrics ⋮ λ‐spheres as a new reference model for the geoid ⋮ Torus-like balloons

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