48 citations · 73 across the 3 of their papers we have counts for
3 papers
math.FA2019★ 3 cited
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…
math.FA2009★ 22 cited
A global theory of algebras of generalized functions II: tensor distributions
Michael Grosser, Michael Kunzinger, Roland Steinbauer +1
We extend the construction of [19] by introducing spaces of generalized tensor fields on smooth manifolds that possess optimal embedding and consistency properties with spaces of t…
gr-qc2008★ 48 cited
On the Geroch-Traschen class of metrics
Roland Steinbauer, James A. Vickers
We compare two approaches to Semi-Riemannian metrics of low regularity. The maximally "reasonable" distributional setting of Geroch and Traschen is shown to be consistently contain…