Gauge theory of Riemann ellipsoids

DOI10.1088/0305-4470/34/13/103zbMath0985.81073arXivmath-ph/9909031OpenAlexW2092096866MaRDI QIDQ2716560

George Rosensteel

Publication date: 2001

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/9909031

zbMATH Keywords

nonholonomic constraintsirrotational flowKelvin circulation\(G= \text{SO}(3)\)inertia ellipsoidspositive-definite real \(3\times 3\) symmetric matricesprincipal \(G\)-bundle \({\mathcal P}\)vorticity group

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45)

Related Items (3)

Nonlinear stability of Riemann ellipsoids with symmetric configurations ⋮ Yang–Mills equation for the nuclear geometrical collective model connexion ⋮ The Hamiltonian dynamics of self-gravitating liquid and gas ellipsoids

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