Critical metrics of the total scalar curvature functional on 4-manifolds

Autor:	Ernani Ribeiro, B. Leandro, Abdênago Barros
Rok vydání:	2015
Předmět:	Riemann curvature tensor General Mathematics Prescribed scalar curvature problem Mathematical analysis Curvature symbols.namesake Einstein tensor Metric (mathematics) symbols Mathematics::Differential Geometry Anti-de Sitter space Tensor Scalar curvature Mathematics
Zdroj:	Mathematische Nachrichten. 288:1814-1821
ISSN:	0025-584X
DOI:	10.1002/mana.201400390
Popis:	The purpose of this paper is to investigate the critical points of the total scalar curvature functional restricted to space of metrics with constant scalar curvature of unitary volume, for simplicity CPE metrics. It was conjectured in the 1980's that every CPE metric must be Einstein. We prove that a 4-dimensional CPE metric with harmonic tensor must be isometric to a round sphere
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::f3c1f142bc5c4d4547b945146953756b https://doi.org/10.1002/mana.201400390 Zobrazit plný text záznamu Plný text ve formátu PDF