169 citations · 181 across the 5 of their papers we have counts for
Showing 2001 · math.FAShow all
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math.FA2001
Generalized pseudo-Riemannian geometry
Michael Kunzinger, Roland Steinbauer
Generalized tensor analysis in the sense of Colombeau's construction is employed to introduce a nonlinear distributional pseudo-Riemannian geometry. In particular, after deriving s…
math.FA2001
Diffeomorphism invariant Colombeau Algebras. Part I: Local theory
Roland Steinbauer
This contribution is the first in a series of three: it reports on the construction of (a fine sheaf of) diffeomorphism invariant Colombeau algebras on open sets of Eucildean space…
math.FA2001
Foundations of a nonlinear distributional geometry
Michael Kunzinger, Roland Steinbauer
Co lombeau's construction of generalized functions (in its special variant) is extended to a theory of generalized sections of vector bundles. As particular cases, generalized tens…