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On Singular Yamabe Obstructions. / Juhl, Andreas; Ørsted, Bent.
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Journal of Geometric Analysis, Bind 32, Nr. 5, 146, 05.2022.
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@article{5117c5c508d043c88fded4f74c711861,
title = "On Singular Yamabe Obstructions",
abstract = "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.",
keywords = "Conformal geometry, Hypersurface invariant, Poincar{\'e}–Einstein metric, Singular Yamabe problem, Willmore functional, Yamabe obstruction",
author = "Andreas Juhl and Bent {\O}rsted",
note = "Publisher Copyright: {\textcopyright} 2022, Mathematica Josephina, Inc.",
year = "2022",
month = may,
doi = "10.1007/s12220-022-00867-6",
language = "English",
volume = "32",
journal = "Journal of Geometric Analysis",
issn = "1050-6926",
publisher = "Springer",
number = "5",
}
RIS
TY - JOUR
T1 - On Singular Yamabe Obstructions
AU - Juhl, Andreas
AU - Ørsted, Bent
N1 - Publisher Copyright:
© 2022, Mathematica Josephina, Inc.
PY - 2022/5
Y1 - 2022/5
N2 - 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.
AB - 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.
KW - Conformal geometry
KW - Hypersurface invariant
KW - Poincaré–Einstein metric
KW - Singular Yamabe problem
KW - Willmore functional
KW - Yamabe obstruction
UR - http://www.scopus.com/inward/record.url?scp=85125228966&partnerID=8YFLogxK
U2 - 10.1007/s12220-022-00867-6
DO - 10.1007/s12220-022-00867-6
M3 - Journal article
AN - SCOPUS:85125228966
VL - 32
JO - Journal of Geometric Analysis
JF - Journal of Geometric Analysis
SN - 1050-6926
IS - 5
M1 - 146
ER -
