Fedosov Manifolds
Israel Gelfand (Rutgers University), Vladimir Retakh (University of, Arkansas), M. Shubin (Northeastern University)
TL;DR
This paper explores the geometry of Fedosov manifolds, focusing on symmetric torsion-free connections that preserve a symplectic form, contributing to the understanding of symplectic geometry and connection theory.
Contribution
It provides a detailed study of Fedosov manifolds, highlighting properties of symmetric torsion-free connections preserving symplectic forms, which advances the theoretical framework of symplectic geometry.
Findings
Characterization of Fedosov manifolds
Conditions for symmetric torsion-free connections
Implications for symplectic geometry
Abstract
In this paper we study geometry of symmetric torsion-free connections which preserve a given symplectic form
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Geological Modeling and Analysis · Geometric and Algebraic Topology