22 citations · 35 across the 18 of their papers we have counts for
4 papers · 1 filter
Prescribed curvature tensor in locally conformally flat manifolds
Romildo Pina, Mauricio Pieterzack
Our principal goal is to study the Prescribed Curvature Tensor problem in locally conformally flat manifolds. The solution to this problem is given explicitly for the special cases…
A family of warped product semi-Riemannian Einstein metrics
Romildo Pina, Marcio Lemes de Sousa
We study warped products semi-Riemannian Einstein manifolds. We consider the case in that the base is conformal to an n-dimensional pseudo Euclidean space and invariant under the a…
Gradient Ricci almost soliton warped product
F. E. S. Feitosa, A. A. Freitas Filho, J. N. V. Gomes +1
We present the necessary and sufficient conditions for constructing gradient Ricci almost solitons that are realized as warped products. This will be done by means of Bishop-O'Neil…
On Warped product gradient Ricci Soliton
Márcio Lemes de Sousa, Romildo Pina
In this paper we consider warped product gradient Ricci solitons. We proved that the potential function depends only on the base and the fiber is necessarily…