On the symplectic structures for geometrical theories

TL;DR

This paper introduces a novel method for constructing covariant symplectic structures in geometrical theories using adjoint operators, providing a new perspective on geometric structures and their derivations.

Contribution

It presents a new approach based on adjoint operators for deriving covariant symplectic structures in geometrical theories.

Findings

New covariant symplectic structures derived from adjoint operators

Comparison with existing methods discussed

Potential applications in geometric theories identified

Abstract

We present a new approach for constructing covariant symplectic structures for geometrical theories, based on the concept of adjoint operators. Such geometric structures emerge by direct exterior derivation of underlying symplectic potentials. Differences and similarities with other approaches and future applications are discussed.