Colombeau's Generalized Functions on Arbitrary Manifolds
General Relativity and Quantum Cosmology
2007-05-23 v1
Abstract
We extend the Colombeau algebra of generalized functions to arbitrary (infinitely differentiable, paracompact) n-dimensional manifolds M. Embedding of continuous functions and distributions is achieved with the help of a family of n-forms defined on the tangent bundle TM, which form a partition of unity upon integration over the fibres.
Cite
@article{arxiv.gr-qc/9610017,
title = {Colombeau's Generalized Functions on Arbitrary Manifolds},
author = {H. Balasin},
journal= {arXiv preprint arXiv:gr-qc/9610017},
year = {2007}
}
Comments
10 pages, latex2e, amstex macros, no figures