A nonlinear theory of tensor distributions

Abstract

The coordinate invariant theory of generalised functions of Colombeau and Meril is reviewed and extended to enable the construction of multi-index generalised tensor functions whose transformation laws coincide with their counterparts in classical distribution theory.

16 pages, AMS-TeX

Cited by in corpus (5)

• The use of Generalised Functions and Distributions in General Relativity
• Signature Changing Space-times and the New Generalised Functions
• Aspects of General Relativity: Pseudo-Finsler extensions, Quasi-normal frequencies and Multiplication of tensorial distributions
• Distributional Schwarzschild Geometry from nonsmooth regularization via Horizon. Disributional Rindler spacetime with disributional Levi-Cività connection induced vacuum dominance.Unruh effect revisited
• Manifold-valued generalized functions in full Colombeau spaces