Maximal Hamiltonian tori for polygon spaces

نویسندگان

  • Jean-Claude HAUSMANN
  • Susan TOLMAN
چکیده

We study the poset of Hamiltonian tori for polygon spaces. We determine some maximal elements and give examples where maximal Hamiltonian tori are not all of the same dimension.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

On Maximal Tori in the Contactomorphism Groups of Regular Contact Manifolds

By a theorem of Banyaga the group of diffeomorphisms of a manifold P preserving a regular contact form α is a central S extension of the commutator of the group of symplectomorphisms of the base B = P/S. We show that if T is a Hamiltonian maximal torus in the group of symplectomorphism of B, then its preimage under the extension map is a maximal torus not only in the group Diff (P, α) of diffeo...

متن کامل

Università Degli Studi Roma Tre Facoltà

In [Féj04] Jacques Féjoz completed and gave the details of Michel Herman’s proof of Arnold’s 1963 theorem on the stability of planetary motions. This result provided the existence of maximal invariant tori for the planetary -body problem, with , in a neighborhood of Keplerian circular and coplanar movements, under the hypothesis that the masses of the planets are sufficiently small with respect...

متن کامل

Infinitely many monotone Lagrangian tori in del Pezzo surfaces

We construct almost toric fibrations (ATFs) on all del Pezzo surfaces, endowed with a monotone symplectic form. Except for CP2#CP2, CP2#2CP2, we are able to get almost toric base diagrams (ATBDs) of triangular shape and prove the existence of infinitely many symplectomorphism (in particular Hamiltonian isotopy) classes of monotone Lagrangian tori in CP2#kCP2 for k = 0, 3, 4, 5, 6, 7, 8. We name...

متن کامل

Persistence of Invariant Tori on Submanifolds in Hamiltonian Systems

Generalizing the degenerate KAM theorem under the Rüssmann non-degeneracy and the isoenergetic KAM theorem, we employ a quasi-linear iterative scheme to study the persistence and frequency preservation of invariant tori on a smooth sub-manifold for a real analytic, nearly integrable Hamiltonian system. Under a nondegenerate condition of Rüssmann type on the sub-manifold, we shall show the follo...

متن کامل

Fast Numerical Algorithms for the Computation of Invariant Tori in Hamiltonian Systems

In this paper, we develop numerical algorithms that use small requirements of storage and operations for the computation of invariant tori in Hamiltonian systems (exact symplectic maps and Hamiltonian vector fields). The algorithms are based on the parameterization method and follow closely the proof of the KAM theorem given in [LGJV05] and [FLS07]. They essentially consist in solving a functio...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2008