Reductions of locally conformal symplectic structures and de Rham cohomology tangent to a foliation

Wojciech Domitrz

Displaying similar documents to “Reductions of locally conformal symplectic structures and de Rham cohomology tangent to a foliation”

Stability of Tangential Locally Conformal Symplectic Forms

Cristian Ida (2014)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

Similarity:

In this paper we firstly define a tangential Lichnerowicz cohomology on foliated manifolds. Next, we define tangential locally conformal symplectic forms on a foliated manifold and we formulate and prove some results concerning their stability.

Examples of stable compact symplectic foliations on compact symplectic manifolds

León, Manuel de (1989)

Portugaliae mathematica

Similarity:

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.

Towards the Definition of Symplectic Boundary.

H. Hofer, Y. Eliashberg (1992)

Geometric and functional analysis

Similarity:

Cohomology of unitary and symplectic groups.

Yau, Donald (1999)

Lobachevskii Journal of Mathematics

Similarity:

Symplectic Killing spinors

Svatopluk Krýsl (2012)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

Let $(M, ω)$ be a symplectic manifold admitting a metaplectic structure (a symplectic analogue of the Riemannian spin structure) and a torsion-free symplectic connection $\nabla$ . Symplectic Killing spinor fields for this structure are sections of the symplectic spinor bundle satisfying a certain first order partial differential equation and they are the main object of this paper. We derive a necessary condition which has to be satisfied by a symplectic Killing spinor field. Using this condition one...