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A Note on Distributional Semi-Riemannian Geometry

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arxiv 0812.0173 v1 pith:PAAHTMNW submitted 2008-11-30 gr-qc math.DG

Roland Steinbauer This is my paper · ORCID
classification gr-qcmath.DG
keywords geometrydistributionalsemi-riemanniansensebasiccolombeaucompareconcepts
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We discuss some basic concepts of semi-Riemannian geometry in low-regularity situations. In particular, we compare the settings of (linear) distributional geometry in the sense of L. Schwartz and nonlinear distributional geometry in the sense of J.F. Colombeau.

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  1. A Covariant Distributional Approach for Junctions in Torsional Locally Rotationally Symmetric Class II Spacetimes

    gr-qc 2026-08 conditional novelty 7.0 of 10

    A covariant distributional framework yields junction and smooth-matching conditions for torsional locally rotationally symmetric spacetimes in Einstein-Cartan theory.

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