In the 1880’s Sophie Kowalewski proposed to study ‘‘integrability’’ of differential equations in terms of the analyticity properties of their solutions. The model she studied, the spinning top moving under gravity, has an interesting geometric and algebraic structure, which will be generalized. The differential geometric properties of such models will be investigated in terms of the theory of affinely‐connected manifolds and Lie theory.
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© 1984 American Institute of Physics.
1984
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