Hitchin–Thorpe inequality and Kaehler metrics for compact almost Ricci soliton

dc.contributor.author	Brasil, A.
dc.contributor.author	Costa, E.
dc.contributor.author	Ribeiro Jr., E.
dc.creator	Brasil, A.
dc.creator	Costa, E.
dc.creator	Ribeiro Jr., E.
dc.date.accessioned	2015-03-23T13:46:55Z
dc.date.issued	2013
dc.identifier.issn	0373-3114
dc.identifier.uri	http://repositorio.ufba.br/ri/handle/ri/17237
dc.description	p.1851-1860	pt_BR
dc.description.abstract	The purpose of this paper is to prove a Hitchin–Thorpe inequality for a four-dimensional compact almost Ricci soliton. Moreover, we prove that under a suitable integral condition, a four-dimensional compact almost Ricci soliton is isometric to standard sphere. Finally, we prove that under a simple condition, a four-dimensional compact Ricci soliton with harmonic self-dual part of Weyl tensor is either isometric to a standard sphere S4 or is Kaehler–Einstein.	pt_BR
dc.language.iso	en	pt_BR
dc.rights	Acesso Aberto	pt_BR
dc.source	http://dx.doi.org/10.1007/s10231-013-0359-1	pt_BR
dc.subject	Ricci soliton	pt_BR
dc.subject	Almost Ricci soliton	pt_BR
dc.subject	Kaehler metrics	pt_BR
dc.subject	Hitchin–Thorpe inequality	pt_BR
dc.subject	Primary: 53C25, 53C20, 53C21	pt_BR
dc.subject	Secondary: 53C65	pt_BR
dc.title	Hitchin–Thorpe inequality and Kaehler metrics for compact almost Ricci soliton	pt_BR
dc.title.alternative	Annali di Matematica Pura ed Applicata	pt_BR
dc.type	Artigo de Periódico	pt_BR
dc.identifier.number	v. 193, n. 9	pt_BR
dc.embargo.liftdate	10000-01-01
dc.publisher.country	Brasil	pt_BR