REVIEW 1 cited by
Foundations of a nonlinear distributional geometry
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Signed reviews
read the original abstract
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 tensor analysis and exterior algebra are studied. A point value characterization for generalized functions on manifolds is derived, several algebraic characterizations of spaces of generalized sections are established and consistency properties with respect to linear distributional geometry are derived. An application to nonsmooth mechanics indicates the additional flexibility offered by this approach compared to the purely distributional picture.
Forward citations
Cited by 1 Pith paper
-
A Covariant Distributional Approach for Junctions in Torsional Locally Rotationally Symmetric Class II Spacetimes
A covariant distributional framework yields junction and smooth-matching conditions for torsional locally rotationally symmetric spacetimes in Einstein-Cartan theory.
Discussion (0). Continue with ORCID to comment.