Manifold-valued generalized functions in full Colombeau spaces

Abstract

We introduce the notion of generalized function taking values in a smooth manifold into the setting of full Colombeau algebras. After deriving a number of characterization results we also introduce a corresponding concept of generalized vector bundle homomorphisms and, based on this, provide a definition of tangent map for such generalized functions.

18 pages; fixed typos and updated introduction

References in corpus (1)

• The use of Generalised Functions and Distributions in General Relativity

Cited by in corpus (1)

• Nonlinear generalized sections and vector bundle homomorphisms in Colombeau spaces of generalized functions