Geometry of Real Forms of the Complex Neumann System

In the paper, we study real forms of complex generic Neumann system. We prove that are completely integrable Hamiltonian systems. The system is an example more general Mumford characterized by Lax pair (Lℂ(λ), Mℂ(λ)) 2 × matrices, where and Uℂ(λ), Vℂ(λ), Wℂ(λ) suitable polynomials. topology a regular level set moment map form determined positions roots with respect to position values parameters For two families system, describe map. one these sets noncompact.In also give formula which provides relation between systems first integrals in involution One obtained from type, while the...