Equivariant normal form for nondegenerate singular orbits of integrable hamiltonian systems
Eva Miranda, Nguyen Tien Zung (2004)
Annales scientifiques de l'École Normale Supérieure
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Eva Miranda, Nguyen Tien Zung (2004)
Annales scientifiques de l'École Normale Supérieure
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Christopher Allday (1998)
Banach Center Publications
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Joachim Hilgert, Karl-Hermann Neeb, Werner Plank (1994)
Compositio Mathematica
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Akio Hattori (1998)
Banach Center Publications
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The aim of this article is to answer a question posed by J. Oprea in his talk at the Workshop "Homotopy and Geometry".
Anton Alekseev, Eckhard Meinrenken, Chris Woodward (2001)
Annales de l’institut Fourier
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We prove that the linearization functor from the category of Hamiltonian -actions with group-valued moment maps in the sense of Lu, to the category of ordinary Hamiltonian - actions, preserves products up to symplectic isomorphism. As an application, we give a new proof of the Thompson conjecture on singular values of matrix products and extend this result to the case of real matrices. We give a formula for the Liouville volume of these spaces and obtain from it a hyperbolic version...
Eva Miranda (2014)
Open Mathematics
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The main purpose of this paper is to present in a unified approach to different results concerning group actions and integrable systems in symplectic, Poisson and contact manifolds. Rigidity problems for integrable systems in these manifolds will be explored from this perspective.
David T. Gay, Margaret Symington (2009)
Journal of the European Mathematical Society
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A near-symplectic structure on a 4-manifold is a closed 2-form that is symplectic away from the 1-dimensional submanifold along which it vanishes and that satisfies a certain transversality condition along this vanishing locus. We investigate near-symplectic 4-manifolds equipped with singular Lagrangian torus fibrations which are locally induced by effective Hamiltonian torus actions. We show how such a structure is completely characterized by a singular integral affine structure on...
Chris Woodward (2010)
Les cours du CIRM
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