On generalized plastic structures

TL;DR

This paper introduces generalized almost plastic structures on pseudo-Riemannian manifolds, exploring their construction, compatibility conditions, and integrability criteria with respect to affine connections.

Contribution

It defines generalized almost plastic structures, constructs a family of such structures, and characterizes their integrability conditions on pseudo-Riemannian manifolds.

Findings

Defined generalized almost plastic structures.

Constructed a family of these structures.

Characterized their integrability conditions.

Abstract

We introduce the concept of generalized almost plastic structure, and, on a pseudo-Riemannian manifold endowed with two $(1,1)$-tensor fields satisfying some compatibility conditions, we construct a family of generalized almost plastic structures and characterize their integrability with respect to a given affine connection on the manifold.