11 citations · 25 across the 7 of their papers we have counts for
7 papers
Contact detection between an ellipsoid and a combination of quadrics
Miguel Brozos-Vázquez, M. J. Pereira-Sáez, A. B. Rodríguez-Raposo +2
We analyze the characteristic polynomial associated to an ellipsoid and another quadric in the context of the contact detection problem. We obtain a necessary and sufficient condit…
On Distinguished local coordinates for locally homogeneous affine surfaces
M. Brozos-Vázquez, E. García-Río, P. Gilkey
We give a new short self-contained proof of the result of Opozda [B. Opozda, A classification of locally homogeneous connections on 2-dimensional manifolds, Differential Geom. Appl…
Half conformally flat generalized quasi-Einstein manifolds
Miguel Brozos-Vázquez, Eduardo García-Río, Peter Gilkey +1
We provide classification results for and examples of half conformally flat generalized quasi Einstein manifolds of signature . This analysis leads to a natural equation in…
Homogeneous affine surfaces: Moduli spaces
Miguel Brozos-Vázquez, Eduardo García-Río, P. Gilkey
We analyze the moduli space of non-flat homogeneous affine connections on surfaces. For Type surfaces, we write down complete sets of invariants that determine the lo…
Classification of the relative positions between a hyperboloid and a sphere
M. Brozos-Vázquez, M. J. Pereira-Sáez, M. J. Souto-Salorio +1
We characterize all possible relative positions between a hyperboloid of one sheet and a sphere through the roots of a characteristic polynomial associated to these quadrics. The c…
Four-dimensional neutral signature self-dual gradient Ricci solitons
Miguel Brozos-Vázquez, Eduardo García-Río
We describe the local structure of self-dual gradient Ricci solitons in neutral signature. If the Ricci soliton is non-isotropic then it is locally conformally flat and locally iso…
Equivalence between the Osserman condition and the Rakić duality principle in dimension four
Miguel Brozos-Vázquez, Eugenio Merino
We show that 4-dimensional Riemannian manifolds which satisfy the Rakić duality principle are Osserman (i.e. the eigenvalues of the Jacobi operator are constant), thus both conditi…