Semantic Scholar Open Access 2001 206 sitasi

$Q$-Curvature and Poincaré Metrics

C. Fefferman C. Graham

Lihat Sumber DOI

Abstrak

This article presents a new definition of Branson's Q-curvature in even-dimensional conformal geometry. We derive the Q-curvature as a coefficient in the asymptotic expansion of the formal solution of a boundary problem at infinity for the Laplacian in the Poincare metric associated to the conformal structure. This gives an easy proof of the result of Graham-Zworski that the log coefficient in the volume expansion of a Poincare metric is a multiple of the integral of the Q-curvature, and leads to a definition of a non-local version of the Q-curvature in odd dimensions.

Topik & Kata Kunci

Mathematics

Penulis (2)

C. Fefferman

C. Graham

Format Sitasi

APA MLA BibTeX

Fefferman, C., Graham, C. (2001). $Q$-Curvature and Poincaré Metrics. https://doi.org/10.4310/MRL.2002.V9.N2.A2

Akses Cepat

Lihat di Sumber doi.org/10.4310/MRL.2002.V9.N2.A2

Informasi Jurnal

Tahun Terbit: 2001
Bahasa: en
Total Sitasi: 206×
Sumber Database: Semantic Scholar
DOI: 10.4310/MRL.2002.V9.N2.A2
Akses: Open Access ✓