Examples of stable compact symplectic foliations on compact symplectic manifolds
León, Manuel de (1989)
Portugaliae mathematica
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León, Manuel de (1989)
Portugaliae mathematica
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Dusa McDuff (1987)
Annales de l'institut Fourier
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We apply Gromov’s method of convex integration to problems related to the existence and uniqueness of symplectic and contact structures
H. Hofer, Y. Eliashberg (1992)
Geometric and functional analysis
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Yoshihiko Mitsumatsu (1995)
Annales de l'institut Fourier
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We simplify and generalize McDuff’s construction of symplectic 4-manifolds with disconnected boundary of contact type in terms of the linking pairing defined on the dual of 3-dimensional Lie algebras. This leads us to an observation that an Anosov flow gives rise to a bi-contact structure, i.e. a transverse pair of contact structures with different orientations, and the construction turns out to work for 3-manifolds which admit Anosov flows with smooth invariant volume. Finally, new...
Izu Vaisman (1989)
Publicacions Matemàtiques
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The paper is an exposition of basic known local and global results on Lagrangian foliations such as the Theorem of Darboux-Lie, Weinstein, Arnold-Liouville, a global characterization of cotangent bundles, higher order Maslov classes, etc.
Yong Fang (2004-2005)
Séminaire de théorie spectrale et géométrie
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Nous présentons plusieurs résultats de rigidité concernant les flots d’Anosov admettant transversalement des structures symplectiques réelles ou complexes de dimension .
Vaisman, I. (2001)
Rendiconti del Seminario Matematico
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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.