The Paneitz equation in hyperbolic space

Autor:	Hans-Christoph Grunau, Wolfgang Reichel, Mohameden Ould Ahmedou
Rok vydání:	2008
Předmět:	Applied Mathematics Hyperbolic space Operator (physics) Mathematical analysis Conformal map Curvature Differential operator Symmetric space Mathematics::Differential Geometry Hyperbolic partial differential equation Conformal geometry Mathematical Physics Analysis Mathematics
Zdroj:	Annales de l'Institut Henri Poincare (C) Non Linear Analysis. 25(5):847-864
ISSN:	0294-1449
DOI:	10.1016/j.anihpc.2007.05.001
Popis:	The Paneitz operator is a fourth order differential operator which arises in conformal geometry and satisfies a certain covariance property. Associated to it is a fourth order curvature – the Q -curvature. We prove the existence of a continuum of conformal radially symmetric complete metrics in hyperbolic space H n , n > 4 , all having the same constant Q -curvature. Moreover, similar results can be shown also for suitable non-constant prescribed Q -curvature functions.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::959a6b34ca1b0ac05063ad6710e13c56 Zobrazit plný text záznamu