Special connections on symplectic manifolds
Schwachhöfer, Lorenz J.
Similarity:
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
Schwachhöfer, Lorenz J.
Similarity:
Svatopluk Krýsl (2011)
Archivum Mathematicum
Similarity:
For a Fedosov manifold (symplectic manifold equipped with a symplectic torsion-free affine connection) admitting a metaplectic structure, we shall investigate two sequences of first order differential operators acting on sections of certain infinite rank vector bundles defined over this manifold. The differential operators are symplectic analogues of the twistor operators known from Riemannian or Lorentzian spin geometry. It is known that the mentioned sequences form complexes if the...
Janyška, Josef
Similarity:
In this nice paper the author proves that all natural symplectic forms on the tangent bundle of a pseudo-Riemannian manifold are pull-backs of the canonical symplectic form on the cotangent bundle with respect to some diffeomorphisms which are naturally induced by the metric.
Svatopluk Krýsl (2006)
Archivum Mathematicum
Similarity:
Exterior differential forms with values in the (Kostant’s) symplectic spinor bundle on a manifold with a given metaplectic structure are decomposed into invariant subspaces. Projections to these invariant subspaces of a covariant derivative associated to a torsion-free symplectic connection are described.