The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

Displaying similar documents to “Locally conformal symplectic manifolds.”

Integrability of the Poisson algebra on a locally conformal symplectic manifold

Haller, Stefan, Rybicki, Tomasz

Similarity:

Summary: It is proven that the Poisson algebra of a locally conformal symplectic manifold is integrable by making use of a convenient setting in global analysis. It is also observed that, contrary to the symplectic case, a unified approach to the compact and non-compact case is possible.

Anosov flows and non-Stein symplectic manifolds

Yoshihiko Mitsumatsu (1995)

Annales de l'institut Fourier

Similarity:

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...

Homogeneous Einstein manifolds based on symplectic triple systems

Cristina Draper Fontanals (2020)

Communications in Mathematics

Similarity:

For each simple symplectic triple system over the real numbers, the standard enveloping Lie algebra and the algebra of inner derivations of the triple provide a reductive pair related to a semi-Riemannian homogeneous manifold. It is proved that this is an Einstein manifold.