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pro vyhledávání: '"Diógenes, Rafael"'
In this article, we investigate some geometric inequalities for quasi-Einstein manifolds. We use the generalized Reilly's formulas by Qiu-Xia and Li-Xia to establish new boundary estimates and an isoperimetric type inequality for compact quasi-Einste
Externí odkaz:
http://arxiv.org/abs/2406.03284
In this article, we investigate the geometry of static perfect fluid space-time on compact manifolds with boundary. We use the generalized Reilly's formula to establish a geometric inequality for a static perfect fluid space-time involving the area o
Externí odkaz:
http://arxiv.org/abs/2306.00225
In this article, we investigate the geometry of critical metrics of the volume functional on compact manifolds with boundary. We use the generalized Reilly's formula to derive new sharp integral estimates for critical metrics of the volume functional
Externí odkaz:
http://arxiv.org/abs/2207.12344
In this paper, we prove that a compact quasi-Einstein manifold $(M^n,\,g,\,u)$ of dimension $n\geq 4$ with boundary $\partial M,$ nonnegative sectional curvature and zero radial Weyl tensor is either isometric, up to scaling, to the standard hemisphe
Externí odkaz:
http://arxiv.org/abs/2105.10829
In this article, we study the geometry of compact quasi-Einstein manifolds with boundary. We establish sharp boundary estimates for compact quasi-Einstein manifolds with boundary that improve some previous results. Moreover, we obtain a characterizat
Externí odkaz:
http://arxiv.org/abs/2007.07678
Akademický článek
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Autor:
Diógenes, Rafael, Gadelha, Tiago
The goal of this article is to study compact quasi-Einstein manifolds with boundary. We provide boundary estimates for compact quasi-Einstein manifolds simi\-lar to previous results obtained for static and $V$-static spaces. In addition, we show that
Externí odkaz:
http://arxiv.org/abs/1911.10068
Publikováno v:
Repositório Institucional da UFCUniversidade Federal do CearáUFC.
DIÓGENES, Rafael Jorge Pontes. Métricas críticas do funcional volume, volume mínimo e curvatura mínima em variedades de dimensão quatro. 2015. 82 f. Tese (Doutorado em Matemática) – Centro de Ciências, Universidade Federal do Ceará, Fortal
Externí odkaz:
http://www.repositorio.ufc.br/handle/riufc/12323
Publikováno v:
Repositório Institucional da UFCUniversidade Federal do CearáUFC.
DIÓGENES, Rafael Jorge Pontes. Métricas m-quasi-Einstein em variedades compactas. 2012. 71 f. Dissertação (Mestrado em Matemática)- Centro de Ciências, Universidade Federal do Ceará, Programa de Pós-Graduação em Matemática, Fortaleza, 2012
Externí odkaz:
http://www.repositorio.ufc.br/handle/riufc/4074
Autor:
Diógenes, Rafael1 (AUTHOR) rafaeldiogenes@unilab.edu.br, Gadelha, Tiago2 (AUTHOR)
Publikováno v:
Mathematische Nachrichten. Sep2022, Vol. 295 Issue 9, p1690-1708. 19p.