Local Gauge Conditions for Ellipticity in Conformal Geometry
Abstract
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.
Main Authors
Format
Articles
Research article
Published
2016
Series
Subjects
Publication in research information system
Publisher
Oxford University Press
The permanent address of the publication
https://urn.fi/URN:NBN:fi:jyu-201611184672Use this for linking
Review status
Peer reviewed
ISSN
1073-7928
DOI
https://doi.org/10.1093/imrn/rnv255
Language
English
Published in
International Mathematics Research Notices
Citation
- 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
License
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.