Higher order relations in Fedosov supermanifolds

TL;DR

This paper derives higher order relations between curvature tensors and related objects in Fedosov supermanifolds, providing coordinate representations and enhancing understanding of their geometric structure.

Contribution

It introduces new higher order relations in Fedosov supermanifolds and discusses their coordinate representations, advancing geometric analysis in supermanifold theory.

Findings

Derived higher order relations in normal coordinates.

Presented coordinate representations of these relations.

Enhanced understanding of geometric structures in Fedosov supermanifolds.

Abstract

Higher order relations existing in normal coordinates between affine extensions of the curvature tensor and basic objects for any Fedosov supermanifolds are derived. Representation of these relations in general coordinates is discussed.