The Kowalewski and Hénon-Heiles motions as Manakov geodesic flows onSO(4) — a two-dimensional family of Lax pairs

Author:

Adler Mark,van Moerbeke Pierre

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference32 articles.

1. Adams, M., Harnard, J., Previato, E.: Isospectral Hamiltonian flows in finite and infinite dimensions. I. Generalized Moser systems and moment maps into loop algebras. Commun. Math. Phys. (submitted)

2. Adler, M., van Moerbeke, P.: Geodesic flow onSO(4) and the intersection of quadrics. Proc. Natl. Acad. Sci. USA81, 4613?4616 (1984)

3. Adler, M., van Moerbeke, P.: A new integrable geodesic flow onSO(4). Probability, statistical mechanics, and number theory. Adv. Math. [Suppl.] Studies9, 81?95 (1986)

4. Adler, M., van Moerbeke, P.: Intersection of four quadrics in ?6 and its moduli. Math. Ann. 1?69 (1987)

5. Adler, M., van Moerbeke, P.: Completely integrable system ? A systematic approach, (preprint 1986). Perspectives in Mathematics. Academic Press, New York (to appear in 1987)

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