TL;DR
This paper introduces conformally Fedosov structures, constructs an associated Cartan connection, and develops natural differential complexes similar to BGG complexes when certain curvature conditions are met.
Contribution
It defines conformally Fedosov structures and constructs a Cartan connection, extending geometric frameworks with new differential complexes.
Findings
Introduction of conformally Fedosov structures
Construction of an associated Cartan connection
Development of natural differential complexes under curvature conditions
Abstract
We introduce the notion of a conformally Fedosov structure and construct an associated Cartan connection. When an appropriate curvature vanishes, this allows us to construct a family of natural differential complexes akin to the BGG complexes from parabolic geometry.
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