4 citations · 26 across the 25 of their papers we have counts for
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A nonlinear theory of distributional geometry
Eduard A. Nigsch, James A. Vickers
This paper builds on the theory of generalised functions begun in [1]. The Colombeau theory of generalised scalar fields on manifolds is extended to a nonlinear theory of generalis…
Nonlinear generalised functions on manifolds
Eduard A. Nigsch, James A. Vickers
This paper lays the foundations for a nonlinear theory of differential geometry that is developed in a subsequent paper which is based on Colombeau algebras of tensor distributions…
On the space of Laplace transformable distributions
Andreas Debrouwere, Eduard A. Nigsch
We show that the space of Laplace transformable distributions, where is a non-empty convex open set, is an ultrabornological (PLS)-space…
Spacetimes with distributional semi-Riemannian metrics and their curvature
Eduard A. Nigsch
We develop a comprehensive geometric framework for defining spaces of nonlinear generalized sections of vector bundles containing spaces of distributio…