… On a Fedosov manifold we can only use the symplectic form for the contraction, and this
obviously leads to a trivial result. … We also give a definition of sectional curvature on a …

… structure (the so-called Fedosov manifolds 3 ). The geometrical … Fedosov supermanifolds
(in the terminology adopted here) have been used. In summary, the geometry of manifolds …

… of the manifold. Let A be a pseudodifferential operator on an n-dimensional manifold X acting
… We denote by T()~ the cotangent bundle of the manifold X and by S(X) the sphere bundle …

… IV, we define the Fedosov N-anholonomic and Lagrange–Fedosov manifolds as certain
generalizations of the Fedosov spaces to nonholonomic configurations. We construct in explict …

… In Section 2 we define the Fedosov manifolds of Wick type, discuss their geometry and
give some examples. The main tool we use here is the integrable involution structure (3) …

… For general elliptic pseudodifferential operators on manifolds … For two-dimensional manifolds,
the interior contribution is … a pseudodifferential operator on a manifold with cylindrical ends …

… with Fedosov, we transfer his procedure of constructing star products to Kähler manifolds by
… of star products of Wick type on each such manifold (Theorem 4.7). Our proof does not make …

… The purpose of this paper is to construct analogues of Fedosov resolutions for Lie …
manifold, called Fedosov dg manifold, and we establish a quasi-isomorphism of Dolgushev–Fedosov …

… Such supermanifolds can be considered as generalization of Fedosov manifolds to the
supersymmetric case. Choosing an appropriate definition of inverse (second-rank) tensor fields …

… Remarkably, these structures are known as those determining the so called Fedosov …
extended manifold, encodes all the respective compatibility conditions for the Fedosov manifold. So…