Colombeau's Generalized Functions on Arbitrary Manifolds

Details Colombeau's Generalized Functions on Arbitrary Manifolds Colombeau's Generalized Functions on Arbitrary Manifolds

1996-10-10

arxiv.org/abs/gr-qc/9610017v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, latex2e, amstex macros, no figures

Scientific paper

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.

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