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arXiv:2405.13322 [math.AP]AbstractReferencesReviewsResources

The Meyers-Serrin theorem on Riemannian manifolds: a survey

Chi Hin Chan, Magdalena Czubak

Published 2024-05-22Version 1

We revisit the questions of density of smooth functions, and differential forms, in Sobolev spaces on Riemannian manifolds. We carefully show equivalence of weak covariant derivatives to weak partial derivatives.

Comments: 13 pages, submitted;
Categories: math.AP, math.DG
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