All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Page 1 Next

Displaying 1 – 20 of 21

Showing per page

Elementary relative tractor calculus for Legendrean contact structures

Michał Andrzej Wasilewicz (2022)

Archivum Mathematicum

For a manifold M endowed with a Legendrean (or Lagrangean) contact structure E ⊕ F ⊂ T M , we give an elementary construction of an invariant partial connection on the quotient bundle T M / F . This permits us to develop a naïve version of relative tractor calculus and to construct a second order invariant differential operator, which turns out to be the first relative BGG operator induced by the partial connection.

Ellipticity of the symplectic twistor complex

Svatopluk Krýsl (2011)

Archivum Mathematicum

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 symplectic...

Equivariant deformation quantization for the cotangent bundle of a flag manifold

Ranee Brylinski (2002)

Annales de l’institut Fourier

Let X be a (generalized) flag manifold of a complex semisimple Lie group G . We investigate the problem of constructing a graded star product on ℛ = R ( T ☆ X ) which corresponds to a G -equivariant quantization of symbols into twisted differential operators acting on half-forms on X . We construct, when ℛ is generated by the momentum functions μ x for G , a preferred choice of ☆ where μ x ☆ φ has the form μ x φ + 1 2 { μ x , φ } t + Λ x ( φ ) t 2 . Here Λ x are operators on ℛ . In the known examples, Λ x ( x ≠ 0 ) is not a differential operator, and so the star product μ x ☆ φ ...

Currently displaying 1 – 20 of 21

Page 1 Next