Local Gauge Conditions for Ellipticity in Conformal Geometry
Liimatainen, T., & Salo, M. (2016). Local Gauge Conditions for Ellipticity in Conformal Geometry. International Mathematics Research Notices, 2016(13), 4058-4077. https://doi.org/10.1093/imrn/rnv255
Julkaistu sarjassa
International Mathematics Research NoticesPäivämäärä
2016Tekijänoikeudet
© The Author(s) 2015. This is a final draft version of an article whose final and definitive form has been published by Oxford University Press. Published in this repository with the kind permission of the publisher.
2016:4 | 2017:137 | 2018:235 | 2019:75 | 2020:66 | 2021:72 | 2022:33 | 2023:58 | 2024:64 | 2025:2
In this article we introduce local gauge conditions under which many curvature tensors appearing in conformal
geometry, such as the Weyl, Cotton, Bach, and Fefferman-Graham obstruction tensors, become elliptic operators. The
gauge conditions amount to fixing an n-harmonic coordinate system and normalizing the determinant of the metric. We
also give corresponding elliptic regularity results and characterizations of local conformal flatness in low regularity
settings.
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