Generalized Group Actions in a Global Setting

Abstract

We study generalized group actions on differentiable manifolds in the Colombeau framework, extending previous work on flows of generalized vector fields and symmetry group analysis of generalized solutions. As an application, we analyze group invariant generalized functions in this setting.

References in corpus (1)

• On the foundations of nonlinear generalized functions I

Cited by in corpus (1)

• Group invariants in algebras of generalized functions