44 citations · 76 across the 22 of their papers we have counts for
22 papers
Isotropic quasi-Einstein manifolds
Miguel Brozos-Vázquez, Eduardo García-Río, Xabier Valle-Regueiro
We investigate the local structure of four-dimensional Lorentzian quasi-Einstein manifolds under conditions on the Weyl tensor. We show that if the Weyl tensor is harmonic and the…
Classification of the relative positions between an ellipsoid and an elliptic paraboloid
Miguel Brozos-Vázquez, María José Pereira-Sáez, María José Souto-Salorio +1
We classify all the relative positions between an ellipsoid and an elliptic paraboloid when the ellipsoid is small in comparison with the paraboloid ({\it small} meaning that the e…
Homogeneous 4-dimensional Kaehler--Weyl Structures
M. Brozos-Vazquez, E. Garcia-Rio, P. Gilkey +1
Any pseudo-Hermitian or para-Hermitian manifold of dimension 4 admits a unique Kaehler-Weyl structure; this structure is locally conformally Kaehler if and only if the alternating…
Locally Conformally Flat Lorentzian Gradient Ricci Solitons
M. Brozos-Vázquez, E. García-Río, S. Gavino-Fernández
It is shown that locally conformally flat Lorentzian gradient Ricci solitons are locally isometric to a Robertson-Walker warped product, if the gradient of the potential function i…
Geometric Realizability of Covariant Derivative Kähler Tensors for almost Pseudo-Hermitian and almost Para-Hermitian Manifolds
Miguel Brozos-Vázquez, Eduardo García-Río, Peter Gilkey +1
The covariant derivative of the Kähler form of an almost pseudo-Hermitian or of an almost para-Hermitian manifold satisfies certain algebraic relations. We show, conversely, that a…
Ricci Solitons on Lorentzian Manifolds with Large Isometry Groups
W. Batat, M. Brozos-Vazquez, E. Garcia-Rio +1
We show that Lorentzian manifolds whose isometry group is of dimension at least are expanding, steady and shrinking Ricci solitons and steady gradient Ricci s…