pith. sign in

arxiv: 1310.3666 · v1 · pith:2VZ5JR6Ynew · submitted 2013-10-14 · 🧮 math.DG · math.AP

Local gauge conditions for ellipticity in conformal geometry

classification 🧮 math.DG math.AP
keywords conditionsconformalgaugelocalellipticgeometryregularitytensors
0
0 comments X
read the original 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.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.