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math.DG2019★ 3 cited
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…
math.DG2011
Nonlinear tensor distributions on Riemannian manifolds
Eduard Nigsch
We construct an algebra of nonlinear generalized tensor fields on manifolds in the sense of J.-F. Colombeau, i.e., containing distributional tensor fields as a linear subspace and…