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metadata.dc.type: | Artigo de Periódico |
Title: | Hitchin–Thorpe inequality and Kaehler metrics for compact almost Ricci soliton |
Other Titles: | Annali di Matematica Pura ed Applicata |
Authors: | Brasil, A. Costa, E. Ribeiro Jr., E. |
metadata.dc.creator: | Brasil, A. Costa, E. Ribeiro Jr., E. |
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. |
Keywords: | Ricci soliton Almost Ricci soliton Kaehler metrics Hitchin–Thorpe inequality Primary: 53C25, 53C20, 53C21 Secondary: 53C65 |
metadata.dc.publisher.country: | Brasil |
metadata.dc.rights: | Acesso Aberto |
URI: | http://repositorio.ufba.br/ri/handle/ri/17237 |
Issue Date: | 2013 |
Appears in Collections: | Artigo Publicado em Periódico (PGMAT) |
Files in This Item:
File | Description | Size | Format | |
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A. Brasil.pdf | 155,39 kB | Adobe PDF | View/Open |
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