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On Singular Yamabe Obstructions

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We discuss the obstruction to the existence of a smooth solution of a singular version of the Yamabe problem for a hypersurface in a four-dimensional general background. This obstruction is a conformally invariant density. We derive various explicit formulas for the singular Yamabe obstruction directly from the original definition. We discuss in detail the relation to results in the literature.

OriginalsprogEngelsk
Artikelnummer146
TidsskriftJournal of Geometric Analysis
Vol/bind32
Nummer5
ISSN1050-6926
DOI
StatusUdgivet - maj 2022

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