Natural operations on differential forms on contact manifolds

TL;DR

This paper characterizes all natural linear operations between differential forms on contact manifolds, showing they are constructed from algebraic operators and the exterior derivative.

Contribution

It provides a complete classification of natural linear operations on differential forms specifically on contact manifolds, introducing new algebraic operators.

Findings

All natural linear operations are generated by algebraic operators and exterior derivative.

The main theorem offers a comprehensive description of these operations.

The results clarify the structure of differential forms on contact manifolds.

Abstract

We characterize all natural linear operations between spaces of differential forms on contact manifolds. Our main theorem says roughly that such operations are built from some algebraic operators which we introduce and the exterior derivative.