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

Abstract

We define and characterize spaces of manifold-valued generalized functions and generalized vector bundle homomorphisms in the setting of the full diffeomorphism-invariant vector-valued Colombeau algebra. Furthermore, we establish point value characterizations for these spaces.

fixed some typos & formatting, added journal reference

References in corpus (4)

• The use of Generalised Functions and Distributions in General Relativity
• A global theory of algebras of generalized functions II: tensor distributions
• Algebras of generalized functions with smooth parameter dependence
• Manifold-valued generalized functions in full Colombeau spaces

Cited by in corpus (1)

• Full and special Colombeau algebras