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Local Gauge Conditions for Ellipticity in Conformal Geometry

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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
Published in
International Mathematics Research Notices
Authors
Liimatainen, Tony |
Salo, Mikko
Date
2016
Discipline
MatematiikkaMathematics
Copyright
© 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.

 
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.
Publisher
Oxford University Press
ISSN Search the Publication Forum
1073-7928
Keywords
conformal geometry curvature tensors gauge conditions
DOI
https://doi.org/10.1093/imrn/rnv255
URI

http://urn.fi/URN:NBN:fi:jyu-201611184672

Publication in research information system

https://converis.jyu.fi/converis/portal/detail/Publication/26180299

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