Conformal Metrics with Constant Q-Curvature

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2007
• ISSN: 1815-0659
• 1. Verfasser: Malchiodi, A.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2007
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/147193
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Conformal Metrics with Constant Q-Curvature / A. Malchiodi // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 46 назв. — англ.

We consider the problem of varying conformally the metric of a four dimensional manifold in order to obtain constant Q-curvature. The problem is variational, and solutions are in general found as critical points of saddle type. We show how the problem leads naturally to consider the set of formal ba...