Zobrazeno 1 - 10
of 26
pro vyhledávání: '"Ribeiro Jr, Ernani"'
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 compact quasi-Einstein manifolds with boundary. We establish the possible values for the constant scalar curvature of a compact quasi-Einstein manifold with boundary. Moreover, we show that a $3$-dimens
Externí odkaz:
http://arxiv.org/abs/2401.16929
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 four-dimensional gradient shrinking Ricci solitons close to a K\"ahler model. The first theorem could be considered as a rigidity result for the K\"ahler-Ricci soliton structure on $\mathbb{S}^2\times \mathbb{R}^2$ (in
Externí odkaz:
http://arxiv.org/abs/2212.05267
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 article, we investigate the geometry of $4$-dimensional compact gradient Ricci solitons. We prove that, under an upper bound condition on the range of the potential function, a $4$-dimensional compact gradient Ricci soliton must satisfy the c
Externí odkaz:
http://arxiv.org/abs/2203.14916
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
Publikováno v:
J. Reine Angew. Math. 778 (2021), 127-144
In this article, we study four-dimensional complete gradient shrinking Ricci solitons. We prove that a four-dimensional complete gradient shrinking Ricci soliton satisfying a pointwise condition involving either the self-dual or anti-self-dual part o
Externí odkaz:
http://arxiv.org/abs/2006.13066
In this article, we provide some volume growth estimates for complete noncompact gradient Ricci solitons and quasi-Einstein manifolds similar to the classical results by Bishop, Calabi and Yau for complete Riemannian manifolds with nonnegative Ricci
Externí odkaz:
http://arxiv.org/abs/2004.14426