B. Leandro

activity

20152022

collaborators

Showing math.DGShow all

5 papers · 1 filter

math.DG2022

Rigidity results for shrinking and expanding Ricci solitons

Benedito Leandro, Jeferson Poveda

In this paper, we prove some rigidity results for both shrinking and expanding Ricci solitons. First, we prove that compact shrinking Ricci solitons are Einstein if we control the…

math.DG2019

Einstein hypersurfaces of $S^{n} \times R$ and $H^{n} \times R$

Benedito Leandro, Romildo Pina, João Paulo dos Santos

In this paper, we classify the Einstein hypersurfaces of $S^{n} \times R$ and $H^{n} \times R$ . We use the characterization of the hypersurfaces of…

math.DG2019

An analysis of symmetry groups of generalized $m$ -quasi-Einstein manifolds

Paula Correia, Benedito Leandro, Romildo Pina

In this paper emphasis is placed on how the behavior of the solutions of a PDE is affected by the geometry of the generalized $m$ -quasi-Einstein manifold, and vice versa. Consideri…

math.DG2017

On the structure of Einstein warped product semi-Riemannian manifolds

Benedito Leandro, Márcio Lemes de Sousa, Romildo Pina

In this paper we consider a class of Einstein warped product semi-Riemannian manifolds $M = M^{n} \times_{f} N^{m}$ with $n \geq 3$ and $m \geq 2$ . For $M$ with com…

math.DG2015

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

A. Barros, B. Leandro, E. Ribeiro

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 vo…