### Symplectic rigidity of geodesic flows on two-step nilmanifolds

Carolyn S. Gordon, Yiping Mao, Dorothee Schueth (1997)

Annales scientifiques de l'École Normale Supérieure

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Carolyn S. Gordon, Yiping Mao, Dorothee Schueth (1997)

Annales scientifiques de l'École Normale Supérieure

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Božidar Jovanović (2008)

Publications de l'Institut Mathématique

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Kryukov, Alexey A. (2005)

International Journal of Mathematics and Mathematical Sciences

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Wainberg, Dorin (2004)

Acta Universitatis Apulensis. Mathematics - Informatics

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Niccolò Lora Lamia Donin (2017)

Complex Manifolds

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In this paper we consider a special class of completely integrable systems that arise as transverse Hilbert schemes of d points of a complex symplectic surface S projecting onto ℂ via a surjective map p which is a submersion outside a discrete subset of S. We explicitly endow the transverse Hilbert scheme Sp[d] with a symplectic form and an endomorphism A of its tangent space with 2-dimensional eigenspaces and such that its characteristic polynomial is the square of its minimum polynomial...

M. A. Olshanetsky, V.-B. K. Rogov (1978)

Annales de l'I.H.P. Physique théorique

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Guessous, Mohamed (1997)

Journal of Convex Analysis

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S. Pilipović (1987)

Rendiconti del Seminario Matematico della Università di Padova

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Božidar Jovanović (2012)

Publications de l'Institut Mathématique

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Klapka, Lubomír

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Let $X$ a smooth finite-dimensional manifold and ${W}_{\Gamma}\left(X\right)$ the manifold of geodesic arcs of a symmetric linear connection $\Gamma $ on $X$. In a previous paper [Differential Geometry and Applications (Brno, 1995) 603-610 (1996; Zbl 0859.58011)] the author introduces and studies the Poisson manifolds of geodesic arcs, i.e. manifolds of geodesic arcs equipped with certain Poisson structure. In this paper the author obtains necessary and sufficient conditions for that a given Lagrange function generates a...