Geometry of Real Forms of the Complex Neumann System |
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| Authors: | Tina Novak |
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| Institution: | 1. Faculty of Mechanical Engineering, University of Ljubljana, A?ker?eva 6, SI-1000 Ljubljana. Sloveniatina.novak@fs.uni-lj.si |
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| Abstract: | In the paper, we study real forms of the complex generic Neumann system. We prove that the real forms are completely integrable Hamiltonian systems. The complex Neumann system is an example of the more general Mumford system. The Mumford system is characterized by the Lax pair (L?(λ), M?(λ)) of 2 × 2 matrices, where  | |
| Keywords: | integrable systems Neumann system Arnold-Liouville level sets spectral curves real structures real forms |
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